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Finding the Third Proportional to 3,420,626.25 and 7,436,648.13

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Solution

The third proportional to 3,420,626.25 and 7,436,648.13 is: 16,167,722.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420,626.25 : 7,436,648.13 = 7,436,648.13 : x
  2. Step 2: Convert to fraction form
    3,420,626.25/7,436,648.13 = 7,436,648.13/x
  3. Step 3: Cross multiply
    3,420,626.25x = 7,436,648.13 × 7,436,648.13
  4. Step 4: Simplify right side
    3,420,626.25x = 55,303,735,335,066.02
  5. Step 5: Solve for x
    x = 55,303,735,335,066.02/3,420,626.25
  6. Step 6: Final answer
    x = 16,167,722.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.