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The phrase "a much larger pool" is correct and usable in written English.
It can be used when referring to a significantly increased number or variety of options, resources, or participants in a particular context.
Example: "By expanding our outreach efforts, we hope to attract a much larger pool of candidates for the job openings."
Alternatives: "a significantly larger group" or "a considerably bigger selection".
Exact(51)
But more important, analysts say, the investment grade opens a much larger pool of potential investors.
By going abroad, banks have access to a much larger pool of capital.
So employers reach not only active jobseekers but also a much larger pool of passive candidates through referrals.
Any additional loans would have to come from a much larger pool of money guaranteed by the euro zone nations.
From an economic perspective, the most obvious one is that corporations in the region will be able to source capital from a much larger pool of investors.
If the city invested now in swimming teams, we would soon have a much larger pool of potential lifeguards, addressing this perpetual shortage.
Similar(9)
19 The previously developed pharmacodynamic model for eribulin-induced neutropenia, which was also integrated in the simulation framework, was based on a much larger pooled dataset from multiple phase I, II, and III studies including a total of 1,579 patients 8 who were predominantly treated for breast cancer.
"The Liberals are fishing from a much, much larger pool than the Tories," Lyle said.
Patients get out of it what they put in, and have access to a potentially much larger pool of people in similar situations than they might otherwise.
Forty feet below, the water thundered into a shallow pool, then slipped down a stair-step streambed to another, much larger pool below.
In terms of a mass audience, the Politico's stunningly miserable investment-to-readership ratio (not surprisingly, depicted as stunningly good in the New Republic) is only the latest example that there clearly isn't a huge audience for the Versailles perspective in the much larger pool of the United States of America as a whole.
More suggestions(16)
a much larger pond
a much larger reservoir
a much larger compilation
a much larger repository
a far larger pool
a much larger suite
a much broader pool
a substantially larger pool
a much bigger pool
a much better pool
a much wider pool
a much larger productivity
a much greater pool
a much larger whole
a much larger view
a much larger problem
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com