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Finding the Third Proportional to 9,717,332 and 22,496,098

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Solution

The third proportional to 9,717,332 and 22,496,098 is: 52,079,565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717,332 : 22,496,098 = 22,496,098 : x
  2. Step 2: Convert to fraction form
    9,717,332/22,496,098 = 22,496,098/x
  3. Step 3: Cross multiply
    9,717,332x = 22,496,098 × 22,496,098
  4. Step 4: Simplify right side
    9,717,332x = 506,074,425,225,604
  5. Step 5: Solve for x
    x = 506,074,425,225,604/9,717,332
  6. Step 6: Final answer
    x = 52,079,565.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.