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Finding the Third Proportional to 11,824,128 and 25,416,192

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Solution

The third proportional to 11,824,128 and 25,416,192 is: 54,632,596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824,128 : 25,416,192 = 25,416,192 : x
  2. Step 2: Convert to fraction form
    11,824,128/25,416,192 = 25,416,192/x
  3. Step 3: Cross multiply
    11,824,128x = 25,416,192 × 25,416,192
  4. Step 4: Simplify right side
    11,824,128x = 645,982,815,780,864
  5. Step 5: Solve for x
    x = 645,982,815,780,864/11,824,128
  6. Step 6: Final answer
    x = 54,632,596.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.