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Finding the Third Proportional to 5,209,889,481,845 and 7,881,840,540,067

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Solution

The third proportional to 5,209,889,481,845 and 7,881,840,540,067 is: 11,924,132,079,101.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209,889,481,845 : 7,881,840,540,067 = 7,881,840,540,067 : x
  2. Step 2: Convert to fraction form
    5,209,889,481,845/7,881,840,540,067 = 7,881,840,540,067/x
  3. Step 3: Cross multiply
    5,209,889,481,845x = 7,881,840,540,067 × 7,881,840,540,067
  4. Step 4: Simplify right side
    5,209,889,481,845x = 62,123,410,299,043,656,213,987,328
  5. Step 5: Solve for x
    x = 62,123,410,299,043,656,213,987,328/5,209,889,481,845
  6. Step 6: Final answer
    x = 11,924,132,079,101.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.