The rate of rapists was likely no higher than that on the western or Italian fronts - rather, there were a far greater number of people on the Eastern Front, and were in Germany and Austria for much longer.

"More people" is completely false. The simple fact, which anyone who is familiar with Germany and German history knows, is that eastern Germany was and is substantially less populated than the western half of the country. Your idea about "more people" only applies to the soldier side of the equation; at best, as a result, the rate of women being raped by soldiers would have been vastly higher than elsewhere even if the rate of rapists remained the same.

But the idea that the Soviets were no more rapacious is just not supported by the best evidence available or the work of most historians. Beevor's Downfall, regarded as a solid work by more academic historians as both a synthesis and a work that encompasses new sources from the Soviet archives, emphasizes that not only were rapes more commonly committed by Soviet troops than elsewhere, but that Soviet leadership knew about the widespread rape and did nothing.