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Finding the Third Proportional to 242,661,838,923 and 527,560,267,941

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Solution

The third proportional to 242,661,838,923 and 527,560,267,941 is: 1,146,945,220,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,661,838,923 : 527,560,267,941 = 527,560,267,941 : x
  2. Step 2: Convert to fraction form
    242,661,838,923/527,560,267,941 = 527,560,267,941/x
  3. Step 3: Cross multiply
    242,661,838,923x = 527,560,267,941 × 527,560,267,941
  4. Step 4: Simplify right side
    242,661,838,923x = 278,319,836,309,979,708,522,496
  5. Step 5: Solve for x
    x = 278,319,836,309,979,708,522,496/242,661,838,923
  6. Step 6: Final answer
    x = 1,146,945,220,333.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.