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Finding the Third Proportional to 5,357,466.56 and 8,086,022.44

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Solution

The third proportional to 5,357,466.56 and 8,086,022.44 is: 12,204,230.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357,466.56 : 8,086,022.44 = 8,086,022.44 : x
  2. Step 2: Convert to fraction form
    5,357,466.56/8,086,022.44 = 8,086,022.44/x
  3. Step 3: Cross multiply
    5,357,466.56x = 8,086,022.44 × 8,086,022.44
  4. Step 4: Simplify right side
    5,357,466.56x = 65,383,758,859,753.44
  5. Step 5: Solve for x
    x = 65,383,758,859,753.44/5,357,466.56
  6. Step 6: Final answer
    x = 12,204,230.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.