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Finding the Third Proportional to 8,355,968 and 11,274,192

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Solution

The third proportional to 8,355,968 and 11,274,192 is: 15,211,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355,968 : 11,274,192 = 11,274,192 : x
  2. Step 2: Convert to fraction form
    8,355,968/11,274,192 = 11,274,192/x
  3. Step 3: Cross multiply
    8,355,968x = 11,274,192 × 11,274,192
  4. Step 4: Simplify right side
    8,355,968x = 127,107,405,252,864
  5. Step 5: Solve for x
    x = 127,107,405,252,864/8,355,968
  6. Step 6: Final answer
    x = 15,211,571.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.