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Finding the Third Proportional to 3,272,098 and 6,844,868

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Solution

The third proportional to 3,272,098 and 6,844,868 is: 14,318,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272,098 : 6,844,868 = 6,844,868 : x
  2. Step 2: Convert to fraction form
    3,272,098/6,844,868 = 6,844,868/x
  3. Step 3: Cross multiply
    3,272,098x = 6,844,868 × 6,844,868
  4. Step 4: Simplify right side
    3,272,098x = 46,852,217,937,424
  5. Step 5: Solve for x
    x = 46,852,217,937,424/3,272,098
  6. Step 6: Final answer
    x = 14,318,708.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.