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Finding the Third Proportional to 40,259,919,600 and 60,040,750,069

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Solution

The third proportional to 40,259,919,600 and 60,040,750,069 is: 89,540,458,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,259,919,600 : 60,040,750,069 = 60,040,750,069 : x
  2. Step 2: Convert to fraction form
    40,259,919,600/60,040,750,069 = 60,040,750,069/x
  3. Step 3: Cross multiply
    40,259,919,600x = 60,040,750,069 × 60,040,750,069
  4. Step 4: Simplify right side
    40,259,919,600x = 3,604,891,668,848,123,576,320
  5. Step 5: Solve for x
    x = 3,604,891,668,848,123,576,320/40,259,919,600
  6. Step 6: Final answer
    x = 89,540,458,715.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.