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Finding the Third Proportional to 6,375,486.44 and 13,758,481.25

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Solution

The third proportional to 6,375,486.44 and 13,758,481.25 is: 29,691,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375,486.44 : 13,758,481.25 = 13,758,481.25 : x
  2. Step 2: Convert to fraction form
    6,375,486.44/13,758,481.25 = 13,758,481.25/x
  3. Step 3: Cross multiply
    6,375,486.44x = 13,758,481.25 × 13,758,481.25
  4. Step 4: Simplify right side
    6,375,486.44x = 189,295,806,306,601.56
  5. Step 5: Solve for x
    x = 189,295,806,306,601.56/6,375,486.44
  6. Step 6: Final answer
    x = 29,691,194.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.