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Finding the Third Proportional to 10,542,419 and 16,291,439

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Solution

The third proportional to 10,542,419 and 16,291,439 is: 25,175,529.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542,419 : 16,291,439 = 16,291,439 : x
  2. Step 2: Convert to fraction form
    10,542,419/16,291,439 = 16,291,439/x
  3. Step 3: Cross multiply
    10,542,419x = 16,291,439 × 16,291,439
  4. Step 4: Simplify right side
    10,542,419x = 265,410,984,690,721
  5. Step 5: Solve for x
    x = 265,410,984,690,721/10,542,419
  6. Step 6: Final answer
    x = 25,175,529.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.