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Finding the Third Proportional to 6,101,648 and 8,277,441

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Solution

The third proportional to 6,101,648 and 8,277,441 is: 11,229,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101,648 : 8,277,441 = 8,277,441 : x
  2. Step 2: Convert to fraction form
    6,101,648/8,277,441 = 8,277,441/x
  3. Step 3: Cross multiply
    6,101,648x = 8,277,441 × 8,277,441
  4. Step 4: Simplify right side
    6,101,648x = 68,516,029,508,481
  5. Step 5: Solve for x
    x = 68,516,029,508,481/6,101,648
  6. Step 6: Final answer
    x = 11,229,102.29

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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.