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Finding the Third Proportional to 11,419,224 and 16,813,422

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Solution

The third proportional to 11,419,224 and 16,813,422 is: 24,755,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419,224 : 16,813,422 = 16,813,422 : x
  2. Step 2: Convert to fraction form
    11,419,224/16,813,422 = 16,813,422/x
  3. Step 3: Cross multiply
    11,419,224x = 16,813,422 × 16,813,422
  4. Step 4: Simplify right side
    11,419,224x = 282,691,159,350,084
  5. Step 5: Solve for x
    x = 282,691,159,350,084/11,419,224
  6. Step 6: Final answer
    x = 24,755,724.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.