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Finding the Third Proportional to 25,571,516,987,268 and 52,498,654,584,552

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Solution

The third proportional to 25,571,516,987,268 and 52,498,654,584,552 is: 107,780,415,786,844.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,571,516,987,268 : 52,498,654,584,552 = 52,498,654,584,552 : x
  2. Step 2: Convert to fraction form
    25,571,516,987,268/52,498,654,584,552 = 52,498,654,584,552/x
  3. Step 3: Cross multiply
    25,571,516,987,268x = 52,498,654,584,552 × 52,498,654,584,552
  4. Step 4: Simplify right side
    25,571,516,987,268x = 2,756,108,733,188,102,690,611,134,464
  5. Step 5: Solve for x
    x = 2,756,108,733,188,102,690,611,134,464/25,571,516,987,268
  6. Step 6: Final answer
    x = 107,780,415,786,844.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.