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Finding the Third Proportional to 3,005,862 and 6,448,908

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Solution

The third proportional to 3,005,862 and 6,448,908 is: 13,835,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005,862 : 6,448,908 = 6,448,908 : x
  2. Step 2: Convert to fraction form
    3,005,862/6,448,908 = 6,448,908/x
  3. Step 3: Cross multiply
    3,005,862x = 6,448,908 × 6,448,908
  4. Step 4: Simplify right side
    3,005,862x = 41,588,414,392,464
  5. Step 5: Solve for x
    x = 41,588,414,392,464/3,005,862
  6. Step 6: Final answer
    x = 13,835,769.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.