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Finding the Third Proportional to 49,918,228,931 and 101,225,490,891

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Solution

The third proportional to 49,918,228,931 and 101,225,490,891 is: 205,267,699,306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,918,228,931 : 101,225,490,891 = 101,225,490,891 : x
  2. Step 2: Convert to fraction form
    49,918,228,931/101,225,490,891 = 101,225,490,891/x
  3. Step 3: Cross multiply
    49,918,228,931x = 101,225,490,891 × 101,225,490,891
  4. Step 4: Simplify right side
    49,918,228,931x = 10,246,600,006,123,923,701,760
  5. Step 5: Solve for x
    x = 10,246,600,006,123,923,701,760/49,918,228,931
  6. Step 6: Final answer
    x = 205,267,699,306.55

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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.