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Finding the Third Proportional to 8,127,524 and 17,656,136

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Solution

The third proportional to 8,127,524 and 17,656,136 is: 38,355,978.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127,524 : 17,656,136 = 17,656,136 : x
  2. Step 2: Convert to fraction form
    8,127,524/17,656,136 = 17,656,136/x
  3. Step 3: Cross multiply
    8,127,524x = 17,656,136 × 17,656,136
  4. Step 4: Simplify right side
    8,127,524x = 311,739,138,450,496
  5. Step 5: Solve for x
    x = 311,739,138,450,496/8,127,524
  6. Step 6: Final answer
    x = 38,355,978.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.