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Finding the Third Proportional to 2,517,245,430 and 3,948,815,295

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Solution

The third proportional to 2,517,245,430 and 3,948,815,295 is: 6,194,525,987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517,245,430 : 3,948,815,295 = 3,948,815,295 : x
  2. Step 2: Convert to fraction form
    2,517,245,430/3,948,815,295 = 3,948,815,295/x
  3. Step 3: Cross multiply
    2,517,245,430x = 3,948,815,295 × 3,948,815,295
  4. Step 4: Simplify right side
    2,517,245,430x = 15,593,142,234,025,936,896
  5. Step 5: Solve for x
    x = 15,593,142,234,025,936,896/2,517,245,430
  6. Step 6: Final answer
    x = 6,194,525,987.89

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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.