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Finding the Third Proportional to 37,854,586 and 82,352,186

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Solution

The third proportional to 37,854,586 and 82,352,186 is: 179,156,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,854,586 : 82,352,186 = 82,352,186 : x
  2. Step 2: Convert to fraction form
    37,854,586/82,352,186 = 82,352,186/x
  3. Step 3: Cross multiply
    37,854,586x = 82,352,186 × 82,352,186
  4. Step 4: Simplify right side
    37,854,586x = 6,781,882,538,978,596
  5. Step 5: Solve for x
    x = 6,781,882,538,978,596/37,854,586
  6. Step 6: Final answer
    x = 179,156,167.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.