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Finding the Third Proportional to 3,413,412.75 and 7,332,912.75

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Solution

The third proportional to 3,413,412.75 and 7,332,912.75 is: 15,753,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413,412.75 : 7,332,912.75 = 7,332,912.75 : x
  2. Step 2: Convert to fraction form
    3,413,412.75/7,332,912.75 = 7,332,912.75/x
  3. Step 3: Cross multiply
    3,413,412.75x = 7,332,912.75 × 7,332,912.75
  4. Step 4: Simplify right side
    3,413,412.75x = 53,771,609,399,112.56
  5. Step 5: Solve for x
    x = 53,771,609,399,112.56/3,413,412.75
  6. Step 6: Final answer
    x = 15,753,034.67

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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.