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Finding the Third Proportional to 9,712,732 and 20,981,624

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Solution

The third proportional to 9,712,732 and 20,981,624 is: 45,324,893.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712,732 : 20,981,624 = 20,981,624 : x
  2. Step 2: Convert to fraction form
    9,712,732/20,981,624 = 20,981,624/x
  3. Step 3: Cross multiply
    9,712,732x = 20,981,624 × 20,981,624
  4. Step 4: Simplify right side
    9,712,732x = 440,228,545,677,376
  5. Step 5: Solve for x
    x = 440,228,545,677,376/9,712,732
  6. Step 6: Final answer
    x = 45,324,893.72

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Why These Related Problems?

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