Is it possible to multiply mpz_class and mpf_class?

I am using GMP lib and I currently have mpz_class integers around 10^5000 and mpf_class floats around 10^-6000. I am wondering if there is a way to multiply these, as that is what I need done. I may be missing something but I don't see anything in the documentation about getting something like this accomplished. I also don't see anything about converting mpz to mpf or vice versa. Any help is appreciated