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Finding the Third Proportional to 5,836,839 and 9,324,387

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Solution

The third proportional to 5,836,839 and 9,324,387 is: 14,895,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836,839 : 9,324,387 = 9,324,387 : x
  2. Step 2: Convert to fraction form
    5,836,839/9,324,387 = 9,324,387/x
  3. Step 3: Cross multiply
    5,836,839x = 9,324,387 × 9,324,387
  4. Step 4: Simplify right side
    5,836,839x = 86,944,192,925,769
  5. Step 5: Solve for x
    x = 86,944,192,925,769/5,836,839
  6. Step 6: Final answer
    x = 14,895,766.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.