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Finding the Third Proportional to 8,777,001 and 11,646,144

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Solution

The third proportional to 8,777,001 and 11,646,144 is: 15,453,190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,777,001 : 11,646,144 = 11,646,144 : x
  2. Step 2: Convert to fraction form
    8,777,001/11,646,144 = 11,646,144/x
  3. Step 3: Cross multiply
    8,777,001x = 11,646,144 × 11,646,144
  4. Step 4: Simplify right side
    8,777,001x = 135,632,670,068,736
  5. Step 5: Solve for x
    x = 135,632,670,068,736/8,777,001
  6. Step 6: Final answer
    x = 15,453,190.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.