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Finding the Third Proportional to 65,661,800,558 and 133,150,717,873

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Solution

The third proportional to 65,661,800,558 and 133,150,717,873 is: 270,006,510,930.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,661,800,558 : 133,150,717,873 = 133,150,717,873 : x
  2. Step 2: Convert to fraction form
    65,661,800,558/133,150,717,873 = 133,150,717,873/x
  3. Step 3: Cross multiply
    65,661,800,558x = 133,150,717,873 × 133,150,717,873
  4. Step 4: Simplify right side
    65,661,800,558x = 17,729,113,670,095,242,002,432
  5. Step 5: Solve for x
    x = 17,729,113,670,095,242,002,432/65,661,800,558
  6. Step 6: Final answer
    x = 270,006,510,930.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.