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Finding the Third Proportional to 37,854,556 and 82,352,124

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Solution

The third proportional to 37,854,556 and 82,352,124 is: 179,156,039.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,854,556 : 82,352,124 = 82,352,124 : x
  2. Step 2: Convert to fraction form
    37,854,556/82,352,124 = 82,352,124/x
  3. Step 3: Cross multiply
    37,854,556x = 82,352,124 × 82,352,124
  4. Step 4: Simplify right side
    37,854,556x = 6,781,872,327,311,376
  5. Step 5: Solve for x
    x = 6,781,872,327,311,376/37,854,556
  6. Step 6: Final answer
    x = 179,156,039.43

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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.