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Finding the Third Proportional to 451,367,614 and 623,687,532

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Solution

The third proportional to 451,367,614 and 623,687,532 is: 861,794,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,367,614 : 623,687,532 = 623,687,532 : x
  2. Step 2: Convert to fraction form
    451,367,614/623,687,532 = 623,687,532/x
  3. Step 3: Cross multiply
    451,367,614x = 623,687,532 × 623,687,532
  4. Step 4: Simplify right side
    451,367,614x = 388,986,137,572,251,008
  5. Step 5: Solve for x
    x = 388,986,137,572,251,008/451,367,614
  6. Step 6: Final answer
    x = 861,794,522.93

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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.