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Finding the Third Proportional to 11,717,574 and 17,741,601

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Solution

The third proportional to 11,717,574 and 17,741,601 is: 26,862,591.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717,574 : 17,741,601 = 17,741,601 : x
  2. Step 2: Convert to fraction form
    11,717,574/17,741,601 = 17,741,601/x
  3. Step 3: Cross multiply
    11,717,574x = 17,741,601 × 17,741,601
  4. Step 4: Simplify right side
    11,717,574x = 314,764,406,043,201
  5. Step 5: Solve for x
    x = 314,764,406,043,201/11,717,574
  6. Step 6: Final answer
    x = 26,862,591.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.