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Finding the Third Proportional to 969,722,715,891 and 1,363,850,120,380.50

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Solution

The third proportional to 969,722,715,891 and 1,363,850,120,380.50 is: 1,918,163,945,610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,722,715,891 : 1,363,850,120,380.50 = 1,363,850,120,380.50 : x
  2. Step 2: Convert to fraction form
    969,722,715,891/1,363,850,120,380.50 = 1,363,850,120,380.50/x
  3. Step 3: Cross multiply
    969,722,715,891x = 1,363,850,120,380.50 × 1,363,850,120,380.50
  4. Step 4: Simplify right side
    969,722,715,891x = 1,860,087,150,861,904,343,203,840
  5. Step 5: Solve for x
    x = 1,860,087,150,861,904,343,203,840/969,722,715,891
  6. Step 6: Final answer
    x = 1,918,163,945,610.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.