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Finding the Third Proportional to 3,947,694,842 and 8,670,117,292

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Solution

The third proportional to 3,947,694,842 and 8,670,117,292 is: 19,041,728,620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947,694,842 : 8,670,117,292 = 8,670,117,292 : x
  2. Step 2: Convert to fraction form
    3,947,694,842/8,670,117,292 = 8,670,117,292/x
  3. Step 3: Cross multiply
    3,947,694,842x = 8,670,117,292 × 8,670,117,292
  4. Step 4: Simplify right side
    3,947,694,842x = 75,170,933,857,037,418,496
  5. Step 5: Solve for x
    x = 75,170,933,857,037,418,496/3,947,694,842
  6. Step 6: Final answer
    x = 19,041,728,620.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.