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Finding the Third Proportional to 451,367,609 and 623,687,524

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Solution

The third proportional to 451,367,609 and 623,687,524 is: 861,794,510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,367,609 : 623,687,524 = 623,687,524 : x
  2. Step 2: Convert to fraction form
    451,367,609/623,687,524 = 623,687,524/x
  3. Step 3: Cross multiply
    451,367,609x = 623,687,524 × 623,687,524
  4. Step 4: Simplify right side
    451,367,609x = 388,986,127,593,250,560
  5. Step 5: Solve for x
    x = 388,986,127,593,250,560/451,367,609
  6. Step 6: Final answer
    x = 861,794,510.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.