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Finding the Third Proportional to 57,474,112 and 122,917,760

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Solution

The third proportional to 57,474,112 and 122,917,760 is: 262,879,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,474,112 : 122,917,760 = 122,917,760 : x
  2. Step 2: Convert to fraction form
    57,474,112/122,917,760 = 122,917,760/x
  3. Step 3: Cross multiply
    57,474,112x = 122,917,760 × 122,917,760
  4. Step 4: Simplify right side
    57,474,112x = 15,108,775,723,417,600
  5. Step 5: Solve for x
    x = 15,108,775,723,417,600/57,474,112
  6. Step 6: Final answer
    x = 262,879,672.22

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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.