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Finding the Third Proportional to 11,318,854.50 and 24,431,049

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Solution

The third proportional to 11,318,854.50 and 24,431,049 is: 52,732,911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,318,854.50 : 24,431,049 = 24,431,049 : x
  2. Step 2: Convert to fraction form
    11,318,854.50/24,431,049 = 24,431,049/x
  3. Step 3: Cross multiply
    11,318,854.50x = 24,431,049 × 24,431,049
  4. Step 4: Simplify right side
    11,318,854.50x = 596,876,155,240,401
  5. Step 5: Solve for x
    x = 596,876,155,240,401/11,318,854.50
  6. Step 6: Final answer
    x = 52,732,911.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.