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Finding the Third Proportional to 39,834,096 and 81,129,936

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Solution

The third proportional to 39,834,096 and 81,129,936 is: 165,236,999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,834,096 : 81,129,936 = 81,129,936 : x
  2. Step 2: Convert to fraction form
    39,834,096/81,129,936 = 81,129,936/x
  3. Step 3: Cross multiply
    39,834,096x = 81,129,936 × 81,129,936
  4. Step 4: Simplify right side
    39,834,096x = 6,582,066,515,364,096
  5. Step 5: Solve for x
    x = 6,582,066,515,364,096/39,834,096
  6. Step 6: Final answer
    x = 165,236,999.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.