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Finding the Third Proportional to 52,395,261,972.75 and 113,970,715,605

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Solution

The third proportional to 52,395,261,972.75 and 113,970,715,605 is: 247,910,279,030.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,395,261,972.75 : 113,970,715,605 = 113,970,715,605 : x
  2. Step 2: Convert to fraction form
    52,395,261,972.75/113,970,715,605 = 113,970,715,605/x
  3. Step 3: Cross multiply
    52,395,261,972.75x = 113,970,715,605 × 113,970,715,605
  4. Step 4: Simplify right side
    52,395,261,972.75x = 12,989,324,015,515,790,737,408
  5. Step 5: Solve for x
    x = 12,989,324,015,515,790,737,408/52,395,261,972.75
  6. Step 6: Final answer
    x = 247,910,279,030.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.