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Finding the Third Proportional to 3,787,721.68 and 5,673,791.34

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Solution

The third proportional to 3,787,721.68 and 5,673,791.34 is: 8,499,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787,721.68 : 5,673,791.34 = 5,673,791.34 : x
  2. Step 2: Convert to fraction form
    3,787,721.68/5,673,791.34 = 5,673,791.34/x
  3. Step 3: Cross multiply
    3,787,721.68x = 5,673,791.34 × 5,673,791.34
  4. Step 4: Simplify right side
    3,787,721.68x = 32,191,908,145,923.54
  5. Step 5: Solve for x
    x = 32,191,908,145,923.54/3,787,721.68
  6. Step 6: Final answer
    x = 8,499,016.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.