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Finding the Third Proportional to 9,752,731,168 and 21,368,695,936

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Solution

The third proportional to 9,752,731,168 and 21,368,695,936 is: 46,819,824,943.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752,731,168 : 21,368,695,936 = 21,368,695,936 : x
  2. Step 2: Convert to fraction form
    9,752,731,168/21,368,695,936 = 21,368,695,936/x
  3. Step 3: Cross multiply
    9,752,731,168x = 21,368,695,936 × 21,368,695,936
  4. Step 4: Simplify right side
    9,752,731,168x = 456,621,166,005,222,899,712
  5. Step 5: Solve for x
    x = 456,621,166,005,222,899,712/9,752,731,168
  6. Step 6: Final answer
    x = 46,819,824,943.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.