Consider a processor that executes a program in $20$ seconds and has a clock rate of $4\mathrm{.}7$ GHz$.$ While running this program, the CPI is $1\mathrm{.}7.$ How many instructions are executed? Round your answer to $3$ decimal places.

$*109$ instructions

Suppose we wish to reduce the program execution time by $20\%,$ but this leads to an increase of $20\%$ in the CPI. What clock rate must we have to achieve this time reduction for the processor?$$Round your answer to $3$ decimal places.

GHz