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Finding the Third Proportional to 5,628,006 and 11,454,744

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Solution

The third proportional to 5,628,006 and 11,454,744 is: 23,313,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628,006 : 11,454,744 = 11,454,744 : x
  2. Step 2: Convert to fraction form
    5,628,006/11,454,744 = 11,454,744/x
  3. Step 3: Cross multiply
    5,628,006x = 11,454,744 × 11,454,744
  4. Step 4: Simplify right side
    5,628,006x = 131,211,160,105,536
  5. Step 5: Solve for x
    x = 131,211,160,105,536/5,628,006
  6. Step 6: Final answer
    x = 23,313,969.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.