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Finding the Third Proportional to 5,870,976 and 8,267,625

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Solution

The third proportional to 5,870,976 and 8,267,625 is: 11,642,633.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870,976 : 8,267,625 = 8,267,625 : x
  2. Step 2: Convert to fraction form
    5,870,976/8,267,625 = 8,267,625/x
  3. Step 3: Cross multiply
    5,870,976x = 8,267,625 × 8,267,625
  4. Step 4: Simplify right side
    5,870,976x = 68,353,623,140,625
  5. Step 5: Solve for x
    x = 68,353,623,140,625/5,870,976
  6. Step 6: Final answer
    x = 11,642,633.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.