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Finding the Third Proportional to 5,361,856 and 11,667,224

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Solution

The third proportional to 5,361,856 and 11,667,224 is: 25,387,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361,856 : 11,667,224 = 11,667,224 : x
  2. Step 2: Convert to fraction form
    5,361,856/11,667,224 = 11,667,224/x
  3. Step 3: Cross multiply
    5,361,856x = 11,667,224 × 11,667,224
  4. Step 4: Simplify right side
    5,361,856x = 136,124,115,866,176
  5. Step 5: Solve for x
    x = 136,124,115,866,176/5,361,856
  6. Step 6: Final answer
    x = 25,387,499.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.