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Finding the Third Proportional to 2,540,498,976 and 5,503,150,322

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Solution

The third proportional to 2,540,498,976 and 5,503,150,322 is: 11,920,754,053.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540,498,976 : 5,503,150,322 = 5,503,150,322 : x
  2. Step 2: Convert to fraction form
    2,540,498,976/5,503,150,322 = 5,503,150,322/x
  3. Step 3: Cross multiply
    2,540,498,976x = 5,503,150,322 × 5,503,150,322
  4. Step 4: Simplify right side
    2,540,498,976x = 30,284,663,466,528,702,464
  5. Step 5: Solve for x
    x = 30,284,663,466,528,702,464/2,540,498,976
  6. Step 6: Final answer
    x = 11,920,754,053.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.