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Finding the Third Proportional to 9,527,262 and 20,283,496

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Solution

The third proportional to 9,527,262 and 20,283,496 is: 43,183,467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527,262 : 20,283,496 = 20,283,496 : x
  2. Step 2: Convert to fraction form
    9,527,262/20,283,496 = 20,283,496/x
  3. Step 3: Cross multiply
    9,527,262x = 20,283,496 × 20,283,496
  4. Step 4: Simplify right side
    9,527,262x = 411,420,209,982,016
  5. Step 5: Solve for x
    x = 411,420,209,982,016/9,527,262
  6. Step 6: Final answer
    x = 43,183,467.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.