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Finding the Third Proportional to 9,865,198,832 and 14,253,508,704

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Solution

The third proportional to 9,865,198,832 and 14,253,508,704 is: 20,593,858,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865,198,832 : 14,253,508,704 = 14,253,508,704 : x
  2. Step 2: Convert to fraction form
    9,865,198,832/14,253,508,704 = 14,253,508,704/x
  3. Step 3: Cross multiply
    9,865,198,832x = 14,253,508,704 × 14,253,508,704
  4. Step 4: Simplify right side
    9,865,198,832x = 203,162,510,375,003,750,400
  5. Step 5: Solve for x
    x = 203,162,510,375,003,750,400/9,865,198,832
  6. Step 6: Final answer
    x = 20,593,858,657.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.