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Finding the Third Proportional to 3,729,471 and 5,264,128.50

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Solution

The third proportional to 3,729,471 and 5,264,128.50 is: 7,430,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729,471 : 5,264,128.50 = 5,264,128.50 : x
  2. Step 2: Convert to fraction form
    3,729,471/5,264,128.50 = 5,264,128.50/x
  3. Step 3: Cross multiply
    3,729,471x = 5,264,128.50 × 5,264,128.50
  4. Step 4: Simplify right side
    3,729,471x = 27,711,048,864,512.25
  5. Step 5: Solve for x
    x = 27,711,048,864,512.25/3,729,471
  6. Step 6: Final answer
    x = 7,430,289.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.