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The phrase "second largest number" is a grammatically correct and commonly used phrase in written English.
It is typically used to describe a numerical value that is second only to the largest number in a set. Example: "Out of the five finalists, Jane had the second largest number of votes, securing her position as runner-up in the competition."
Exact(40)
Finland has the second largest number with 8, followed by Germany with 6.
Iran has the second largest number of refugees with 868,200.
Canada reports the second largest number of tornadoes (about 80 to 100 annually).
In contrast, Sweden is quite small, yet it still offers the second largest number of places.
Applications from India, which sends the second largest number of students, increased by 20 percent.
Los Angeles continued to have the second largest number of Hispanics, more than 1.8 million.
Similar(20)
The largest number, 52, matched in internal medicine programs, the second-largest number, 10, in general surgery programs.
Press the button with the second-largest number.
The analysis found that Taiwan owns the second-largest number of IC design patents.
India has the second-largest number of H.I.V. infected people in the world, after South Africa.
Major Falk said that Connecticut would provide the second-largest number of troops, after Utah.
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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