Modulus of a Complex Number Product

Consider the complex number $z = 4 + 3i$. You are tasked with finding the modulus of the complex number obtained by multiplying $z$ by its conjugate. The conjugate of a complex number $a + bi$ is $a - bi$. Use the formula for the modulus of a complex number, which is given by

$$ |a + bi| = ext{sqrt}(a^2 + b^2) $$

Find the value of the modulus and express your answer as a decimal.