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Finding the Third Proportional to 35,000,689 and 50,419,860

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Solution

The third proportional to 35,000,689 and 50,419,860 is: 72,631,778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,000,689 : 50,419,860 = 50,419,860 : x
  2. Step 2: Convert to fraction form
    35,000,689/50,419,860 = 50,419,860/x
  3. Step 3: Cross multiply
    35,000,689x = 50,419,860 × 50,419,860
  4. Step 4: Simplify right side
    35,000,689x = 2,542,162,282,419,600
  5. Step 5: Solve for x
    x = 2,542,162,282,419,600/35,000,689
  6. Step 6: Final answer
    x = 72,631,778.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.