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Finding the Third Proportional to 13,605,264 and 29,601,936

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Solution

The third proportional to 13,605,264 and 29,601,936 is: 64,407,027.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605,264 : 29,601,936 = 29,601,936 : x
  2. Step 2: Convert to fraction form
    13,605,264/29,601,936 = 29,601,936/x
  3. Step 3: Cross multiply
    13,605,264x = 29,601,936 × 29,601,936
  4. Step 4: Simplify right side
    13,605,264x = 876,274,614,948,096
  5. Step 5: Solve for x
    x = 876,274,614,948,096/13,605,264
  6. Step 6: Final answer
    x = 64,407,027.67

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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.