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Finding the Third Proportional to 11,672,508 and 18,647,082

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Solution

The third proportional to 11,672,508 and 18,647,082 is: 29,789,113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672,508 : 18,647,082 = 18,647,082 : x
  2. Step 2: Convert to fraction form
    11,672,508/18,647,082 = 18,647,082/x
  3. Step 3: Cross multiply
    11,672,508x = 18,647,082 × 18,647,082
  4. Step 4: Simplify right side
    11,672,508x = 347,713,667,114,724
  5. Step 5: Solve for x
    x = 347,713,667,114,724/11,672,508
  6. Step 6: Final answer
    x = 29,789,113.63

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.