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Finding the Third Proportional to 36,558,942 and 80,291,241

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Solution

The third proportional to 36,558,942 and 80,291,241 is: 176,336,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,558,942 : 80,291,241 = 80,291,241 : x
  2. Step 2: Convert to fraction form
    36,558,942/80,291,241 = 80,291,241/x
  3. Step 3: Cross multiply
    36,558,942x = 80,291,241 × 80,291,241
  4. Step 4: Simplify right side
    36,558,942x = 6,446,683,381,320,081
  5. Step 5: Solve for x
    x = 6,446,683,381,320,081/36,558,942
  6. Step 6: Final answer
    x = 176,336,705.29

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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.