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Finding the Third Proportional to 5,857,381,593.38 and 8,923,115,662.97

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Solution

The third proportional to 5,857,381,593.38 and 8,923,115,662.97 is: 13,593,444,761.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857,381,593.38 : 8,923,115,662.97 = 8,923,115,662.97 : x
  2. Step 2: Convert to fraction form
    5,857,381,593.38/8,923,115,662.97 = 8,923,115,662.97/x
  3. Step 3: Cross multiply
    5,857,381,593.38x = 8,923,115,662.97 × 8,923,115,662.97
  4. Step 4: Simplify right side
    5,857,381,593.38x = 79,621,993,134,722,695,168
  5. Step 5: Solve for x
    x = 79,621,993,134,722,695,168/5,857,381,593.38
  6. Step 6: Final answer
    x = 13,593,444,761.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.