There are an infinite number of rational numbers between any two given numbers.
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There are infinitely many. More precisely, there are Aleph-null of them, or countably infinite.
There are infinitely many rational numbers between any two rational numbers. And the cardinality of irrational numbers between any two rational numbers is even greater.
There are countably infinite rational numbers between any two numbers.
There is an infinite number of them between any two rational numbers.
Yes, there are many rational numbers between 50 and 70. All whole numbers and fractions are rational.