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Finding the Third Proportional to 5,250,218.25 and 8,236,042.50

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Solution

The third proportional to 5,250,218.25 and 8,236,042.50 is: 12,919,919.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250,218.25 : 8,236,042.50 = 8,236,042.50 : x
  2. Step 2: Convert to fraction form
    5,250,218.25/8,236,042.50 = 8,236,042.50/x
  3. Step 3: Cross multiply
    5,250,218.25x = 8,236,042.50 × 8,236,042.50
  4. Step 4: Simplify right side
    5,250,218.25x = 67,832,396,061,806.25
  5. Step 5: Solve for x
    x = 67,832,396,061,806.25/5,250,218.25
  6. Step 6: Final answer
    x = 12,919,919.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.