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Finding the Third Proportional to 225,667,845 and 491,398,380

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Solution

The third proportional to 225,667,845 and 491,398,380 is: 1,070,034,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,667,845 : 491,398,380 = 491,398,380 : x
  2. Step 2: Convert to fraction form
    225,667,845/491,398,380 = 491,398,380/x
  3. Step 3: Cross multiply
    225,667,845x = 491,398,380 × 491,398,380
  4. Step 4: Simplify right side
    225,667,845x = 241,472,367,866,624,384
  5. Step 5: Solve for x
    x = 241,472,367,866,624,384/225,667,845
  6. Step 6: Final answer
    x = 1,070,034,447.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.