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Finding the Third Proportional to 51,052,007 and 109,280,110

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Solution

The third proportional to 51,052,007 and 109,280,110 is: 233,921,115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,052,007 : 109,280,110 = 109,280,110 : x
  2. Step 2: Convert to fraction form
    51,052,007/109,280,110 = 109,280,110/x
  3. Step 3: Cross multiply
    51,052,007x = 109,280,110 × 109,280,110
  4. Step 4: Simplify right side
    51,052,007x = 11,942,142,441,612,100
  5. Step 5: Solve for x
    x = 11,942,142,441,612,100/51,052,007
  6. Step 6: Final answer
    x = 233,921,115.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.