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Finding the Third Proportional to 11,667,172 and 16,805,826

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Solution

The third proportional to 11,667,172 and 16,805,826 is: 24,207,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667,172 : 16,805,826 = 16,805,826 : x
  2. Step 2: Convert to fraction form
    11,667,172/16,805,826 = 16,805,826/x
  3. Step 3: Cross multiply
    11,667,172x = 16,805,826 × 16,805,826
  4. Step 4: Simplify right side
    11,667,172x = 282,435,787,542,276
  5. Step 5: Solve for x
    x = 282,435,787,542,276/11,667,172
  6. Step 6: Final answer
    x = 24,207,733.25

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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.