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Finding the Third Proportional to 31,396,846,727 and 48,259,204,455

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Solution

The third proportional to 31,396,846,727 and 48,259,204,455 is: 74,177,857,250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,396,846,727 : 48,259,204,455 = 48,259,204,455 : x
  2. Step 2: Convert to fraction form
    31,396,846,727/48,259,204,455 = 48,259,204,455/x
  3. Step 3: Cross multiply
    31,396,846,727x = 48,259,204,455 × 48,259,204,455
  4. Step 4: Simplify right side
    31,396,846,727x = 2,328,950,814,629,491,900,416
  5. Step 5: Solve for x
    x = 2,328,950,814,629,491,900,416/31,396,846,727
  6. Step 6: Final answer
    x = 74,177,857,250.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.