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Finding the Third Proportional to 36,821,046 and 55,231,569

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Solution

The third proportional to 36,821,046 and 55,231,569 is: 82,847,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,821,046 : 55,231,569 = 55,231,569 : x
  2. Step 2: Convert to fraction form
    36,821,046/55,231,569 = 55,231,569/x
  3. Step 3: Cross multiply
    36,821,046x = 55,231,569 × 55,231,569
  4. Step 4: Simplify right side
    36,821,046x = 3,050,526,214,201,761
  5. Step 5: Solve for x
    x = 3,050,526,214,201,761/36,821,046
  6. Step 6: Final answer
    x = 82,847,353.50

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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.