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Finding the Third Proportional to 11,753,884.50 and 17,808,591.75

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Solution

The third proportional to 11,753,884.50 and 17,808,591.75 is: 26,982,223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753,884.50 : 17,808,591.75 = 17,808,591.75 : x
  2. Step 2: Convert to fraction form
    11,753,884.50/17,808,591.75 = 17,808,591.75/x
  3. Step 3: Cross multiply
    11,753,884.50x = 17,808,591.75 × 17,808,591.75
  4. Step 4: Simplify right side
    11,753,884.50x = 317,145,940,118,168.06
  5. Step 5: Solve for x
    x = 317,145,940,118,168.06/11,753,884.50
  6. Step 6: Final answer
    x = 26,982,223.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.