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Finding the Third Proportional to 65,393,919 and 140,176,818

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Solution

The third proportional to 65,393,919 and 140,176,818 is: 300,479,625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,393,919 : 140,176,818 = 140,176,818 : x
  2. Step 2: Convert to fraction form
    65,393,919/140,176,818 = 140,176,818/x
  3. Step 3: Cross multiply
    65,393,919x = 140,176,818 × 140,176,818
  4. Step 4: Simplify right side
    65,393,919x = 19,649,540,304,605,124
  5. Step 5: Solve for x
    x = 19,649,540,304,605,124/65,393,919
  6. Step 6: Final answer
    x = 300,479,625.71

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