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Finding the Third Proportional to 45,199,728 and 67,623,822

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Solution

The third proportional to 45,199,728 and 67,623,822 is: 101,172,761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,199,728 : 67,623,822 = 67,623,822 : x
  2. Step 2: Convert to fraction form
    45,199,728/67,623,822 = 67,623,822/x
  3. Step 3: Cross multiply
    45,199,728x = 67,623,822 × 67,623,822
  4. Step 4: Simplify right side
    45,199,728x = 4,572,981,301,887,684
  5. Step 5: Solve for x
    x = 4,572,981,301,887,684/45,199,728
  6. Step 6: Final answer
    x = 101,172,761.52

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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.