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Finding the Third Proportional to 5,782,542.75 and 7,675,803

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Solution

The third proportional to 5,782,542.75 and 7,675,803 is: 10,188,934.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782,542.75 : 7,675,803 = 7,675,803 : x
  2. Step 2: Convert to fraction form
    5,782,542.75/7,675,803 = 7,675,803/x
  3. Step 3: Cross multiply
    5,782,542.75x = 7,675,803 × 7,675,803
  4. Step 4: Simplify right side
    5,782,542.75x = 58,917,951,694,809
  5. Step 5: Solve for x
    x = 58,917,951,694,809/5,782,542.75
  6. Step 6: Final answer
    x = 10,188,934.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.