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Finding the Third Proportional to 73,656,640 and 102,413,695

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Solution

The third proportional to 73,656,640 and 102,413,695 is: 142,398,090.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,656,640 : 102,413,695 = 102,413,695 : x
  2. Step 2: Convert to fraction form
    73,656,640/102,413,695 = 102,413,695/x
  3. Step 3: Cross multiply
    73,656,640x = 102,413,695 × 102,413,695
  4. Step 4: Simplify right side
    73,656,640x = 10,488,564,923,553,024
  5. Step 5: Solve for x
    x = 10,488,564,923,553,024/73,656,640
  6. Step 6: Final answer
    x = 142,398,090.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.