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Finding the Third Proportional to 5,458,560.75 and 8,561,818.13

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Solution

The third proportional to 5,458,560.75 and 8,561,818.13 is: 13,429,314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458,560.75 : 8,561,818.13 = 8,561,818.13 : x
  2. Step 2: Convert to fraction form
    5,458,560.75/8,561,818.13 = 8,561,818.13/x
  3. Step 3: Cross multiply
    5,458,560.75x = 8,561,818.13 × 8,561,818.13
  4. Step 4: Simplify right side
    5,458,560.75x = 73,304,729,605,578.52
  5. Step 5: Solve for x
    x = 73,304,729,605,578.52/5,458,560.75
  6. Step 6: Final answer
    x = 13,429,314.61

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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.