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The phrase "almost twice the sum" is correct and usable in written English.
It can be used when discussing a quantity that is nearly double a particular total or amount.
Example: "The final cost was almost twice the sum we initially budgeted for the project."
Alternatives: "nearly double the total" or "approximately twice the amount".
Exact(1)
The report by the Independent Budget Office said that antiterrorism programs were helping to push total police overtime to $346 million this year, almost twice the sum originally budgeted.
Similar(59)
This is almost twice the median amount spent on CAMs in other studies [ 10, 46, 50].
In 2011, Wales, Scotland and Northern Ireland together received £54 billion, or $83.7 billion, a sum that is almost twice the level of British military spending.
The sum sought by the company, which was revised several times over the course of the dispute, at one point exceeded $300m – almost twice the $158m in international aid that El Salvador received in 2014.
That is almost twice the state average, records show.
That was almost twice the rate that had been expected.
That is almost twice the equivalent figure for India.
It is almost twice the weight of the average putter.
This is almost twice the number of a decade ago.
That's almost twice the number of neonatal deaths and twice the number of deaths from HIV/AIDS per year.
That's almost twice the battery life.
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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