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"most rapid increase" is a correct and usable phrase in written English.
You can use it to describe a situation in which the rate of growth is faster than usual, for example: "The most rapid increase in the company's profits took place during the first quarter of 2020."
Exact(40)
The most rapid increase in size of any age group was the 49percentt jump in the population 45-to-54 45-to-54 45-to-54
It predicts the number of students in state schools in England will rise by nearly one million within a decade, with the most rapid increase in London.
Not counting food and energy, the indicator, the Producer Price Index, was up 0.4 percent, the most rapid increase in six months.
Data from the Bank of England, released on Friday, show that the 3.5% annual increase in consumer credit, which includes borrowing on overdrafts, credit cards and unsecured loans, was the most rapid increase in four-and-a-half years.
Production of paper and paperboard has shown the most rapid increase among wood products; this trend is expected to continue as consumption per person in the less-developed countries approaches that in the developed nations (see part B of the figure above).
(3) The most rapid increase in wintertime temperature within a 2-week period shows a correlation with the observed increase in crevasse area which was approximated by an exponential function.
Similar(19)
This is a real contrast to the published prices, where the most rapid increases have been about 5percentt a year beyond inflation at public four-year colleges.
Spain has achieved one of the most rapid increases in wealth in the euro zone, but it remains stuck with an unbalanced economy and low domestic productivity.
Census data analyzed by the Brookings Institution show that mid-South locations were showing some of the most rapid increases in 65 and older populations.
Breastfeeding is rapidly giving way to infant formula in large areas of Asia where markets have tripled in value in a decade – an area where we have seen some of the most rapid increases in overweight and obesity.
9, 10 The most rapid increases in breast cancer mortality, and for all age groups, were in Korea.
More suggestions(15)
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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