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Finding the Third Proportional to 462,474,068 and 664,737,564

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Solution

The third proportional to 462,474,068 and 664,737,564 is: 955,461,202.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,474,068 : 664,737,564 = 664,737,564 : x
  2. Step 2: Convert to fraction form
    462,474,068/664,737,564 = 664,737,564/x
  3. Step 3: Cross multiply
    462,474,068x = 664,737,564 × 664,737,564
  4. Step 4: Simplify right side
    462,474,068x = 441,876,028,992,654,080
  5. Step 5: Solve for x
    x = 441,876,028,992,654,080/462,474,068
  6. Step 6: Final answer
    x = 955,461,202.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.