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Finding the Third Proportional to 6,193,287 and 13,383,027

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Solution

The third proportional to 6,193,287 and 13,383,027 is: 28,919,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193,287 : 13,383,027 = 13,383,027 : x
  2. Step 2: Convert to fraction form
    6,193,287/13,383,027 = 13,383,027/x
  3. Step 3: Cross multiply
    6,193,287x = 13,383,027 × 13,383,027
  4. Step 4: Simplify right side
    6,193,287x = 179,105,411,682,729
  5. Step 5: Solve for x
    x = 179,105,411,682,729/6,193,287
  6. Step 6: Final answer
    x = 28,919,281.75

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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.