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Finding the Third Proportional to 36,270,036 and 76,633,812

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Solution

The third proportional to 36,270,036 and 76,633,812 is: 161,917,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,270,036 : 76,633,812 = 76,633,812 : x
  2. Step 2: Convert to fraction form
    36,270,036/76,633,812 = 76,633,812/x
  3. Step 3: Cross multiply
    36,270,036x = 76,633,812 × 76,633,812
  4. Step 4: Simplify right side
    36,270,036x = 5,872,741,141,651,344
  5. Step 5: Solve for x
    x = 5,872,741,141,651,344/36,270,036
  6. Step 6: Final answer
    x = 161,917,157.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.