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Finding the Third Proportional to 9,996,799 and 21,799,939

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Solution

The third proportional to 9,996,799 and 21,799,939 is: 47,538,951.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996,799 : 21,799,939 = 21,799,939 : x
  2. Step 2: Convert to fraction form
    9,996,799/21,799,939 = 21,799,939/x
  3. Step 3: Cross multiply
    9,996,799x = 21,799,939 × 21,799,939
  4. Step 4: Simplify right side
    9,996,799x = 475,237,340,403,721
  5. Step 5: Solve for x
    x = 475,237,340,403,721/9,996,799
  6. Step 6: Final answer
    x = 47,538,951.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.