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Finding the Third Proportional to 6,844,949 and 10,246,099

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Solution

The third proportional to 6,844,949 and 10,246,099 is: 15,337,228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844,949 : 10,246,099 = 10,246,099 : x
  2. Step 2: Convert to fraction form
    6,844,949/10,246,099 = 10,246,099/x
  3. Step 3: Cross multiply
    6,844,949x = 10,246,099 × 10,246,099
  4. Step 4: Simplify right side
    6,844,949x = 104,982,544,717,801
  5. Step 5: Solve for x
    x = 104,982,544,717,801/6,844,949
  6. Step 6: Final answer
    x = 15,337,228.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.