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Finding the Third Proportional to 5,261,520 and 11,475,195

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Solution

The third proportional to 5,261,520 and 11,475,195 is: 25,027,007.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261,520 : 11,475,195 = 11,475,195 : x
  2. Step 2: Convert to fraction form
    5,261,520/11,475,195 = 11,475,195/x
  3. Step 3: Cross multiply
    5,261,520x = 11,475,195 × 11,475,195
  4. Step 4: Simplify right side
    5,261,520x = 131,680,100,288,025
  5. Step 5: Solve for x
    x = 131,680,100,288,025/5,261,520
  6. Step 6: Final answer
    x = 25,027,007.46

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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.