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Finding the Third Proportional to 363,257,874 and 774,949,059

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Solution

The third proportional to 363,257,874 and 774,949,059 is: 1,653,222,371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,257,874 : 774,949,059 = 774,949,059 : x
  2. Step 2: Convert to fraction form
    363,257,874/774,949,059 = 774,949,059/x
  3. Step 3: Cross multiply
    363,257,874x = 774,949,059 × 774,949,059
  4. Step 4: Simplify right side
    363,257,874x = 600,546,044,044,985,472
  5. Step 5: Solve for x
    x = 600,546,044,044,985,472/363,257,874
  6. Step 6: Final answer
    x = 1,653,222,371.84

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.