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Finding the Third Proportional to 6,214,976 and 8,396,976

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Solution

The third proportional to 6,214,976 and 8,396,976 is: 11,345,048.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214,976 : 8,396,976 = 8,396,976 : x
  2. Step 2: Convert to fraction form
    6,214,976/8,396,976 = 8,396,976/x
  3. Step 3: Cross multiply
    6,214,976x = 8,396,976 × 8,396,976
  4. Step 4: Simplify right side
    6,214,976x = 70,509,205,944,576
  5. Step 5: Solve for x
    x = 70,509,205,944,576/6,214,976
  6. Step 6: Final answer
    x = 11,345,048.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.