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Finding the Third Proportional to 11,667,164 and 16,805,814

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Solution

The third proportional to 11,667,164 and 16,805,814 is: 24,207,715.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667,164 : 16,805,814 = 16,805,814 : x
  2. Step 2: Convert to fraction form
    11,667,164/16,805,814 = 16,805,814/x
  3. Step 3: Cross multiply
    11,667,164x = 16,805,814 × 16,805,814
  4. Step 4: Simplify right side
    11,667,164x = 282,435,384,202,596
  5. Step 5: Solve for x
    x = 282,435,384,202,596/11,667,164
  6. Step 6: Final answer
    x = 24,207,715.28

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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.