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Finding the Third Proportional to 20,799,142 and 46,377,972

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Solution

The third proportional to 20,799,142 and 46,377,972 is: 103,413,702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,799,142 : 46,377,972 = 46,377,972 : x
  2. Step 2: Convert to fraction form
    20,799,142/46,377,972 = 46,377,972/x
  3. Step 3: Cross multiply
    20,799,142x = 46,377,972 × 46,377,972
  4. Step 4: Simplify right side
    20,799,142x = 2,150,916,286,832,784
  5. Step 5: Solve for x
    x = 2,150,916,286,832,784/20,799,142
  6. Step 6: Final answer
    x = 103,413,702.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.