Typically, the only way a researcher can get "rich" off of their research is if they write a book or go on a speaking tour.
Mind you, also, that the average age that one reaches "full professor" is something like 45 or 50. If you want to go down that track, you're looking at a salary in the range of $23k until your mid-to-late 20s as a grad student, followed by a salary of no more than $45k as a post-doc until sometime in your mid 30s. If you are lucky enough to snag a tenure track position by your mid 30s, then you'll probably make around $50k for the next 7 years, at which point you might get a tenured position (which can eventually, through promotions, lead to "full professor"), or you might be sent packing at age 45 with essentially no future on your chosen career path. This is not a hypothetical. I watched this very thing happen to two Ph.D. advisors.
So, no...despite what you might have been told, no one chooses a research career to get rich. (Consequently, I left academia to pursue software engineering and easily increased my expected lifetime earnings by at least 4x.)
On the other hand, you are right that the chances of getting through are very slim, maybe 1 in 20 of those dedicated to try. Professional athletics is a safer career move. :)
And yes...for the top-level number I was guestimating. Still, if the top paid professors are in Law and Medicine, consider that these areas are the top paying non-academic professions. In other words, those professors are still taking a major hit.
http://en.wikipedia.org/wiki/David_E._Shaw
But, those are fringe cases, of course