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Finding the Third Proportional to 3,524,512,077 and 5,286,768,741

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Solution

The third proportional to 3,524,512,077 and 5,286,768,741 is: 7,930,154,049.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524,512,077 : 5,286,768,741 = 5,286,768,741 : x
  2. Step 2: Convert to fraction form
    3,524,512,077/5,286,768,741 = 5,286,768,741/x
  3. Step 3: Cross multiply
    3,524,512,077x = 5,286,768,741 × 5,286,768,741
  4. Step 4: Simplify right side
    3,524,512,077x = 27,949,923,720,814,723,072
  5. Step 5: Solve for x
    x = 27,949,923,720,814,723,072/3,524,512,077
  6. Step 6: Final answer
    x = 7,930,154,049.75

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