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Finding the Third Proportional to 8,777,025 and 11,646,180

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Solution

The third proportional to 8,777,025 and 11,646,180 is: 15,453,243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,777,025 : 11,646,180 = 11,646,180 : x
  2. Step 2: Convert to fraction form
    8,777,025/11,646,180 = 11,646,180/x
  3. Step 3: Cross multiply
    8,777,025x = 11,646,180 × 11,646,180
  4. Step 4: Simplify right side
    8,777,025x = 135,633,508,592,400
  5. Step 5: Solve for x
    x = 135,633,508,592,400/8,777,025
  6. Step 6: Final answer
    x = 15,453,243.96

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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.