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Finding the Third Proportional to 2,936,008 and 6,449,384

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Solution

The third proportional to 2,936,008 and 6,449,384 is: 14,167,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936,008 : 6,449,384 = 6,449,384 : x
  2. Step 2: Convert to fraction form
    2,936,008/6,449,384 = 6,449,384/x
  3. Step 3: Cross multiply
    2,936,008x = 6,449,384 × 6,449,384
  4. Step 4: Simplify right side
    2,936,008x = 41,594,553,979,456
  5. Step 5: Solve for x
    x = 41,594,553,979,456/2,936,008
  6. Step 6: Final answer
    x = 14,167,043.82

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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.