The phrase "magnitude increase" means that something has become bigger, stronger, or more significant. It refers to a noticeable and often substantial growth or enhancement in a particular attribute or quality. Full definition
But the new amount of aid — $ 10 billion a year — falls far short of the order of magnitude increase in total funding scientists say is required to do the job. (sciencemag.org)
So, we've had two orders of magnitude increase in just seven years — now, that's pretty frightening. (teachermagazine.com.au)
But, bottom line: I think that that order of magnitude increase is very achievable. (realclimate.org)