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Finding the Third Proportional to 2,981,668 and 6,435,441

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Solution

The third proportional to 2,981,668 and 6,435,441 is: 13,889,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981,668 : 6,435,441 = 6,435,441 : x
  2. Step 2: Convert to fraction form
    2,981,668/6,435,441 = 6,435,441/x
  3. Step 3: Cross multiply
    2,981,668x = 6,435,441 × 6,435,441
  4. Step 4: Simplify right side
    2,981,668x = 41,414,900,864,481
  5. Step 5: Solve for x
    x = 41,414,900,864,481/2,981,668
  6. Step 6: Final answer
    x = 13,889,843.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.