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Finding the Third Proportional to 18,006,729 and 39,513,264

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Solution

The third proportional to 18,006,729 and 39,513,264 is: 86,706,365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,006,729 : 39,513,264 = 39,513,264 : x
  2. Step 2: Convert to fraction form
    18,006,729/39,513,264 = 39,513,264/x
  3. Step 3: Cross multiply
    18,006,729x = 39,513,264 × 39,513,264
  4. Step 4: Simplify right side
    18,006,729x = 1,561,298,031,933,696
  5. Step 5: Solve for x
    x = 1,561,298,031,933,696/18,006,729
  6. Step 6: Final answer
    x = 86,706,365.82

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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.