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Finding the Third Proportional to 34,661,286 and 48,456,180

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Solution

The third proportional to 34,661,286 and 48,456,180 is: 67,741,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,661,286 : 48,456,180 = 48,456,180 : x
  2. Step 2: Convert to fraction form
    34,661,286/48,456,180 = 48,456,180/x
  3. Step 3: Cross multiply
    34,661,286x = 48,456,180 × 48,456,180
  4. Step 4: Simplify right side
    34,661,286x = 2,348,001,380,192,400
  5. Step 5: Solve for x
    x = 2,348,001,380,192,400/34,661,286
  6. Step 6: Final answer
    x = 67,741,323.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.