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Finding the Third Proportional to 908,896,231 and 1,987,853,257

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Solution

The third proportional to 908,896,231 and 1,987,853,257 is: 4,347,647,659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,896,231 : 1,987,853,257 = 1,987,853,257 : x
  2. Step 2: Convert to fraction form
    908,896,231/1,987,853,257 = 1,987,853,257/x
  3. Step 3: Cross multiply
    908,896,231x = 1,987,853,257 × 1,987,853,257
  4. Step 4: Simplify right side
    908,896,231x = 3,951,560,571,365,508,096
  5. Step 5: Solve for x
    x = 3,951,560,571,365,508,096/908,896,231
  6. Step 6: Final answer
    x = 4,347,647,659.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.