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Finding the Third Proportional to 17,644,134 and 38,219,496

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Solution

The third proportional to 17,644,134 and 38,219,496 is: 82,788,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644,134 : 38,219,496 = 38,219,496 : x
  2. Step 2: Convert to fraction form
    17,644,134/38,219,496 = 38,219,496/x
  3. Step 3: Cross multiply
    17,644,134x = 38,219,496 × 38,219,496
  4. Step 4: Simplify right side
    17,644,134x = 1,460,729,874,494,016
  5. Step 5: Solve for x
    x = 1,460,729,874,494,016/17,644,134
  6. Step 6: Final answer
    x = 82,788,414.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.