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Finding the Third Proportional to 52,016,589 and 81,003,213.75

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Solution

The third proportional to 52,016,589 and 81,003,213.75 is: 126,142,847.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,016,589 : 81,003,213.75 = 81,003,213.75 : x
  2. Step 2: Convert to fraction form
    52,016,589/81,003,213.75 = 81,003,213.75/x
  3. Step 3: Cross multiply
    52,016,589x = 81,003,213.75 × 81,003,213.75
  4. Step 4: Simplify right side
    52,016,589x = 6,561,520,637,828,189
  5. Step 5: Solve for x
    x = 6,561,520,637,828,189/52,016,589
  6. Step 6: Final answer
    x = 126,142,847.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.