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Finding the Third Proportional to 13,447,344 and 20,123,496

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Solution

The third proportional to 13,447,344 and 20,123,496 is: 30,114,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447,344 : 20,123,496 = 20,123,496 : x
  2. Step 2: Convert to fraction form
    13,447,344/20,123,496 = 20,123,496/x
  3. Step 3: Cross multiply
    13,447,344x = 20,123,496 × 20,123,496
  4. Step 4: Simplify right side
    13,447,344x = 404,955,091,262,016
  5. Step 5: Solve for x
    x = 404,955,091,262,016/13,447,344
  6. Step 6: Final answer
    x = 30,114,131.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.