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Finding the Third Proportional to 194,787,851,978 and 418,890,605,874.24

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Solution

The third proportional to 194,787,851,978 and 418,890,605,874.24 is: 900,822,807,520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,787,851,978 : 418,890,605,874.24 = 418,890,605,874.24 : x
  2. Step 2: Convert to fraction form
    194,787,851,978/418,890,605,874.24 = 418,890,605,874.24/x
  3. Step 3: Cross multiply
    194,787,851,978x = 418,890,605,874.24 × 418,890,605,874.24
  4. Step 4: Simplify right side
    194,787,851,978x = 175,469,339,689,687,854,350,336
  5. Step 5: Solve for x
    x = 175,469,339,689,687,854,350,336/194,787,851,978
  6. Step 6: Final answer
    x = 900,822,807,520.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.