There are infinitely many.
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There are infinitely many rational numbers between 2 and 27.
Infinitely many! There are an infinite number of rational numbers between any two irrational numbers (they will more than likely have very large numerators and denominators), and there are an infinite number of irrational numbers between any two rational numbers.
There are infinitely many rational numbers between any two consecutive rational numbers. This is because rational numbers can be expressed as fractions, and between any two fractions, an infinite number of other fractions can be found by taking the average of the two given fractions. Therefore, the set of rational numbers is dense, meaning there is no smallest gap between any two rational numbers.
There are infinitely many such numbers. 9.501 is one example.
Rational numbers are infinitely dense and that means that there are infiitely many rational numbers between any two numbers.