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Finding the Third Proportional to 13,940,096 and 30,196,976

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Solution

The third proportional to 13,940,096 and 30,196,976 is: 65,412,559.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940,096 : 30,196,976 = 30,196,976 : x
  2. Step 2: Convert to fraction form
    13,940,096/30,196,976 = 30,196,976/x
  3. Step 3: Cross multiply
    13,940,096x = 30,196,976 × 30,196,976
  4. Step 4: Simplify right side
    13,940,096x = 911,857,359,544,576
  5. Step 5: Solve for x
    x = 911,857,359,544,576/13,940,096
  6. Step 6: Final answer
    x = 65,412,559.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.