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Finding the Third Proportional to 11,653,350 and 17,641,782

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Solution

The third proportional to 11,653,350 and 17,641,782 is: 26,707,553.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653,350 : 17,641,782 = 17,641,782 : x
  2. Step 2: Convert to fraction form
    11,653,350/17,641,782 = 17,641,782/x
  3. Step 3: Cross multiply
    11,653,350x = 17,641,782 × 17,641,782
  4. Step 4: Simplify right side
    11,653,350x = 311,232,472,135,524
  5. Step 5: Solve for x
    x = 311,232,472,135,524/11,653,350
  6. Step 6: Final answer
    x = 26,707,553.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.