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Finding the Third Proportional to 5,375,498,838 and 8,414,123,854

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Solution

The third proportional to 5,375,498,838 and 8,414,123,854 is: 13,170,401,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375,498,838 : 8,414,123,854 = 8,414,123,854 : x
  2. Step 2: Convert to fraction form
    5,375,498,838/8,414,123,854 = 8,414,123,854/x
  3. Step 3: Cross multiply
    5,375,498,838x = 8,414,123,854 × 8,414,123,854
  4. Step 4: Simplify right side
    5,375,498,838x = 70,797,480,230,451,814,400
  5. Step 5: Solve for x
    x = 70,797,480,230,451,814,400/5,375,498,838
  6. Step 6: Final answer
    x = 13,170,401,922.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.