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Finding the Third Proportional to 3,102,976 and 6,581,568

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Solution

The third proportional to 3,102,976 and 6,581,568 is: 13,959,836.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102,976 : 6,581,568 = 6,581,568 : x
  2. Step 2: Convert to fraction form
    3,102,976/6,581,568 = 6,581,568/x
  3. Step 3: Cross multiply
    3,102,976x = 6,581,568 × 6,581,568
  4. Step 4: Simplify right side
    3,102,976x = 43,317,037,338,624
  5. Step 5: Solve for x
    x = 43,317,037,338,624/3,102,976
  6. Step 6: Final answer
    x = 13,959,836.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.