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Finding the Third Proportional to 52,395,261,975 and 113,970,715,609

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Solution

The third proportional to 52,395,261,975 and 113,970,715,609 is: 247,910,279,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,395,261,975 : 113,970,715,609 = 113,970,715,609 : x
  2. Step 2: Convert to fraction form
    52,395,261,975/113,970,715,609 = 113,970,715,609/x
  3. Step 3: Cross multiply
    52,395,261,975x = 113,970,715,609 × 113,970,715,609
  4. Step 4: Simplify right side
    52,395,261,975x = 12,989,324,016,427,556,929,536
  5. Step 5: Solve for x
    x = 12,989,324,016,427,556,929,536/52,395,261,975
  6. Step 6: Final answer
    x = 247,910,279,036.78

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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.