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Finding the Third Proportional to 6,731,856 and 9,197,172

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Solution

The third proportional to 6,731,856 and 9,197,172 is: 12,565,327.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731,856 : 9,197,172 = 9,197,172 : x
  2. Step 2: Convert to fraction form
    6,731,856/9,197,172 = 9,197,172/x
  3. Step 3: Cross multiply
    6,731,856x = 9,197,172 × 9,197,172
  4. Step 4: Simplify right side
    6,731,856x = 84,587,972,797,584
  5. Step 5: Solve for x
    x = 84,587,972,797,584/6,731,856
  6. Step 6: Final answer
    x = 12,565,327.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.