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Finding the Third Proportional to 17,578,414 and 38,560,484

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Solution

The third proportional to 17,578,414 and 38,560,484 is: 84,587,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578,414 : 38,560,484 = 38,560,484 : x
  2. Step 2: Convert to fraction form
    17,578,414/38,560,484 = 38,560,484/x
  3. Step 3: Cross multiply
    17,578,414x = 38,560,484 × 38,560,484
  4. Step 4: Simplify right side
    17,578,414x = 1,486,910,926,314,256
  5. Step 5: Solve for x
    x = 1,486,910,926,314,256/17,578,414
  6. Step 6: Final answer
    x = 84,587,319.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.