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Finding the Third Proportional to 3,272,988,876 and 4,991,199,745.50

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Solution

The third proportional to 3,272,988,876 and 4,991,199,745.50 is: 7,611,414,472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272,988,876 : 4,991,199,745.50 = 4,991,199,745.50 : x
  2. Step 2: Convert to fraction form
    3,272,988,876/4,991,199,745.50 = 4,991,199,745.50/x
  3. Step 3: Cross multiply
    3,272,988,876x = 4,991,199,745.50 × 4,991,199,745.50
  4. Step 4: Simplify right side
    3,272,988,876x = 24,912,074,899,479,265,280
  5. Step 5: Solve for x
    x = 24,912,074,899,479,265,280/3,272,988,876
  6. Step 6: Final answer
    x = 7,611,414,472.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.