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Finding the Third Proportional to 3,413,074 and 7,332,664

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Solution

The third proportional to 3,413,074 and 7,332,664 is: 15,753,529.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413,074 : 7,332,664 = 7,332,664 : x
  2. Step 2: Convert to fraction form
    3,413,074/7,332,664 = 7,332,664/x
  3. Step 3: Cross multiply
    3,413,074x = 7,332,664 × 7,332,664
  4. Step 4: Simplify right side
    3,413,074x = 53,767,961,336,896
  5. Step 5: Solve for x
    x = 53,767,961,336,896/3,413,074
  6. Step 6: Final answer
    x = 15,753,529.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.