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Finding the Third Proportional to 4,632,324 and 6,682,743

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Solution

The third proportional to 4,632,324 and 6,682,743 is: 9,640,744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632,324 : 6,682,743 = 6,682,743 : x
  2. Step 2: Convert to fraction form
    4,632,324/6,682,743 = 6,682,743/x
  3. Step 3: Cross multiply
    4,632,324x = 6,682,743 × 6,682,743
  4. Step 4: Simplify right side
    4,632,324x = 44,659,054,004,049
  5. Step 5: Solve for x
    x = 44,659,054,004,049/4,632,324
  6. Step 6: Final answer
    x = 9,640,744.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.