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Finding the Third Proportional to 2,517,245,424 and 3,948,815,286

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Solution

The third proportional to 2,517,245,424 and 3,948,815,286 is: 6,194,525,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517,245,424 : 3,948,815,286 = 3,948,815,286 : x
  2. Step 2: Convert to fraction form
    2,517,245,424/3,948,815,286 = 3,948,815,286/x
  3. Step 3: Cross multiply
    2,517,245,424x = 3,948,815,286 × 3,948,815,286
  4. Step 4: Simplify right side
    2,517,245,424x = 15,593,142,162,947,262,464
  5. Step 5: Solve for x
    x = 15,593,142,162,947,262,464/2,517,245,424
  6. Step 6: Final answer
    x = 6,194,525,974.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.