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Finding the Third Proportional to 49,969,720 and 115,669,240

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Solution

The third proportional to 49,969,720 and 115,669,240 is: 267,749,610.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,969,720 : 115,669,240 = 115,669,240 : x
  2. Step 2: Convert to fraction form
    49,969,720/115,669,240 = 115,669,240/x
  3. Step 3: Cross multiply
    49,969,720x = 115,669,240 × 115,669,240
  4. Step 4: Simplify right side
    49,969,720x = 13,379,373,082,177,600
  5. Step 5: Solve for x
    x = 13,379,373,082,177,600/49,969,720
  6. Step 6: Final answer
    x = 267,749,610.81

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.