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Finding the Third Proportional to 38,337,699 and 82,521,249

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Solution

The third proportional to 38,337,699 and 82,521,249 is: 177,625,593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,337,699 : 82,521,249 = 82,521,249 : x
  2. Step 2: Convert to fraction form
    38,337,699/82,521,249 = 82,521,249/x
  3. Step 3: Cross multiply
    38,337,699x = 82,521,249 × 82,521,249
  4. Step 4: Simplify right side
    38,337,699x = 6,809,756,536,520,001
  5. Step 5: Solve for x
    x = 6,809,756,536,520,001/38,337,699
  6. Step 6: Final answer
    x = 177,625,593.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.