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Finding the Third Proportional to 21,488,972 and 46,381,016

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Solution

The third proportional to 21,488,972 and 46,381,016 is: 100,107,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,488,972 : 46,381,016 = 46,381,016 : x
  2. Step 2: Convert to fraction form
    21,488,972/46,381,016 = 46,381,016/x
  3. Step 3: Cross multiply
    21,488,972x = 46,381,016 × 46,381,016
  4. Step 4: Simplify right side
    21,488,972x = 2,151,198,645,192,256
  5. Step 5: Solve for x
    x = 2,151,198,645,192,256/21,488,972
  6. Step 6: Final answer
    x = 100,107,098.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.