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Finding the Third Proportional to 3,589,216 and 7,741,976

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Solution

The third proportional to 3,589,216 and 7,741,976 is: 16,699,522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589,216 : 7,741,976 = 7,741,976 : x
  2. Step 2: Convert to fraction form
    3,589,216/7,741,976 = 7,741,976/x
  3. Step 3: Cross multiply
    3,589,216x = 7,741,976 × 7,741,976
  4. Step 4: Simplify right side
    3,589,216x = 59,938,192,384,576
  5. Step 5: Solve for x
    x = 59,938,192,384,576/3,589,216
  6. Step 6: Final answer
    x = 16,699,522.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.