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Finding the Third Proportional to 3,882,501,540 and 8,491,418,775

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Solution

The third proportional to 3,882,501,540 and 8,491,418,775 is: 18,571,581,252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882,501,540 : 8,491,418,775 = 8,491,418,775 : x
  2. Step 2: Convert to fraction form
    3,882,501,540/8,491,418,775 = 8,491,418,775/x
  3. Step 3: Cross multiply
    3,882,501,540x = 8,491,418,775 × 8,491,418,775
  4. Step 4: Simplify right side
    3,882,501,540x = 72,104,192,812,422,504,448
  5. Step 5: Solve for x
    x = 72,104,192,812,422,504,448/3,882,501,540
  6. Step 6: Final answer
    x = 18,571,581,252.33

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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.