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Finding the Third Proportional to 3,857,278,182 and 8,372,125,812

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Solution

The third proportional to 3,857,278,182 and 8,372,125,812 is: 18,171,489,663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857,278,182 : 8,372,125,812 = 8,372,125,812 : x
  2. Step 2: Convert to fraction form
    3,857,278,182/8,372,125,812 = 8,372,125,812/x
  3. Step 3: Cross multiply
    3,857,278,182x = 8,372,125,812 × 8,372,125,812
  4. Step 4: Simplify right side
    3,857,278,182x = 70,092,490,611,956,662,272
  5. Step 5: Solve for x
    x = 70,092,490,611,956,662,272/3,857,278,182
  6. Step 6: Final answer
    x = 18,171,489,663.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.