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Finding the Third Proportional to 5,758,848 and 13,332,096

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Solution

The third proportional to 5,758,848 and 13,332,096 is: 30,864,642.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758,848 : 13,332,096 = 13,332,096 : x
  2. Step 2: Convert to fraction form
    5,758,848/13,332,096 = 13,332,096/x
  3. Step 3: Cross multiply
    5,758,848x = 13,332,096 × 13,332,096
  4. Step 4: Simplify right side
    5,758,848x = 177,744,783,753,216
  5. Step 5: Solve for x
    x = 177,744,783,753,216/5,758,848
  6. Step 6: Final answer
    x = 30,864,642.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.