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Finding the Third Proportional to 17,674,827.75 and 27,431,343.56

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Solution

The third proportional to 17,674,827.75 and 27,431,343.56 is: 42,573,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674,827.75 : 27,431,343.56 = 27,431,343.56 : x
  2. Step 2: Convert to fraction form
    17,674,827.75/27,431,343.56 = 27,431,343.56/x
  3. Step 3: Cross multiply
    17,674,827.75x = 27,431,343.56 × 27,431,343.56
  4. Step 4: Simplify right side
    17,674,827.75x = 752,478,609,643,910.25
  5. Step 5: Solve for x
    x = 752,478,609,643,910.25/17,674,827.75
  6. Step 6: Final answer
    x = 42,573,462.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.