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Finding the Third Proportional to 650,540,217.38 and 991,056,049.88

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Solution

The third proportional to 650,540,217.38 and 991,056,049.88 is: 1,509,809,951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,540,217.38 : 991,056,049.88 = 991,056,049.88 : x
  2. Step 2: Convert to fraction form
    650,540,217.38/991,056,049.88 = 991,056,049.88/x
  3. Step 3: Cross multiply
    650,540,217.38x = 991,056,049.88 × 991,056,049.88
  4. Step 4: Simplify right side
    650,540,217.38x = 982,192,093,993,838,464
  5. Step 5: Solve for x
    x = 982,192,093,993,838,464/650,540,217.38
  6. Step 6: Final answer
    x = 1,509,809,951.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.