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Finding the Third Proportional to 5,531,213.25 and 8,676,834.75

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Solution

The third proportional to 5,531,213.25 and 8,676,834.75 is: 13,611,382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531,213.25 : 8,676,834.75 = 8,676,834.75 : x
  2. Step 2: Convert to fraction form
    5,531,213.25/8,676,834.75 = 8,676,834.75/x
  3. Step 3: Cross multiply
    5,531,213.25x = 8,676,834.75 × 8,676,834.75
  4. Step 4: Simplify right side
    5,531,213.25x = 75,287,461,278,807.56
  5. Step 5: Solve for x
    x = 75,287,461,278,807.56/5,531,213.25
  6. Step 6: Final answer
    x = 13,611,382.87

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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.