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The phrase "a much larger margin" is correct and usable in written English.
It can be used when comparing sizes, differences, or extents in various contexts, such as statistics, finance, or general comparisons.
Example: "The new marketing strategy resulted in a much larger margin of profit compared to last year's approach."
Alternatives: "a significantly greater margin" or "a considerably larger gap."
Exact(22)
But, now Ms. Sternberg said, there is a much larger margin.
The State Assembly followed suit by a much larger margin later in the morning.
She lost Ohio by a much larger margin, despite heaping ads and attention on the state.
The 2010 midterms, like 2018, involved only a change in control of the House, but by a much larger margin.
The announcement ends two days of suspense in which Maduro's opponents claimed a much larger margin of victory than initially announced by electoral authorities.
Mr. Romney had won by a much larger margin, 67 percent to 25 percent, in CNN's poll after the first debate.
Similar(38)
Exit polls conducted by Edison Research showed some counties passed it by a much larger margins (hello Bay Area!), while there was significantly less support in other parts of the state. .
The sample sizes on subpopulations in a poll — like Hispanics, young voters or evangelical Christians — are much smaller than for all voters as a whole and therefore contain much larger margins of error.
The authors of the legislation also knew that the fallibility of regulators was a major factor in the financial crisis, so the bill mandates much larger margins for error and creates incentives for banks to take fewer risks.
They also won some states by much larger margins than the pollsters had predicted.
While seats often have similar swings, they don't all have the same swing – we may see seats change hands in different directions, or seats on much larger margins fall while seats on smaller margins stay still.
More suggestions(16)
a much larger periphery
a much larger spread
a much larger fringe
a far larger margin
a much larger proportion
a much larger profit
a much larger error
a much larger variance
a much bigger margin
a much wider margin
a much larger scope
a much larger marginalized
a much larger productivity
a much stronger margin
a much larger whole
a much larger view
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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