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Finding the Third Proportional to 6,101,646 and 8,277,438

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Solution

The third proportional to 6,101,646 and 8,277,438 is: 11,229,097.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101,646 : 8,277,438 = 8,277,438 : x
  2. Step 2: Convert to fraction form
    6,101,646/8,277,438 = 8,277,438/x
  3. Step 3: Cross multiply
    6,101,646x = 8,277,438 × 8,277,438
  4. Step 4: Simplify right side
    6,101,646x = 68,515,979,843,844
  5. Step 5: Solve for x
    x = 68,515,979,843,844/6,101,646
  6. Step 6: Final answer
    x = 11,229,097.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.