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Finding the Third Proportional to 10,234,311 and 22,062,864

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Solution

The third proportional to 10,234,311 and 22,062,864 is: 47,562,553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234,311 : 22,062,864 = 22,062,864 : x
  2. Step 2: Convert to fraction form
    10,234,311/22,062,864 = 22,062,864/x
  3. Step 3: Cross multiply
    10,234,311x = 22,062,864 × 22,062,864
  4. Step 4: Simplify right side
    10,234,311x = 486,769,967,882,496
  5. Step 5: Solve for x
    x = 486,769,967,882,496/10,234,311
  6. Step 6: Final answer
    x = 47,562,553.83

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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.