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Finding the Third Proportional to 3,857,287,376 and 8,372,144,416

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Solution

The third proportional to 3,857,287,376 and 8,372,144,416 is: 18,171,527,109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857,287,376 : 8,372,144,416 = 8,372,144,416 : x
  2. Step 2: Convert to fraction form
    3,857,287,376/8,372,144,416 = 8,372,144,416/x
  3. Step 3: Cross multiply
    3,857,287,376x = 8,372,144,416 × 8,372,144,416
  4. Step 4: Simplify right side
    3,857,287,376x = 70,092,802,122,359,980,032
  5. Step 5: Solve for x
    x = 70,092,802,122,359,980,032/3,857,287,376
  6. Step 6: Final answer
    x = 18,171,527,109.56

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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.