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Finding the Third Proportional to 2,936,006 and 6,449,378

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Solution

The third proportional to 2,936,006 and 6,449,378 is: 14,167,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936,006 : 6,449,378 = 6,449,378 : x
  2. Step 2: Convert to fraction form
    2,936,006/6,449,378 = 6,449,378/x
  3. Step 3: Cross multiply
    2,936,006x = 6,449,378 × 6,449,378
  4. Step 4: Simplify right side
    2,936,006x = 41,594,476,586,884
  5. Step 5: Solve for x
    x = 41,594,476,586,884/2,936,006
  6. Step 6: Final answer
    x = 14,167,027.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.