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Finding the Third Proportional to 41,644,496,161 and 63,442,509,283

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Solution

The third proportional to 41,644,496,161 and 63,442,509,283 is: 96,650,274,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,644,496,161 : 63,442,509,283 = 63,442,509,283 : x
  2. Step 2: Convert to fraction form
    41,644,496,161/63,442,509,283 = 63,442,509,283/x
  3. Step 3: Cross multiply
    41,644,496,161x = 63,442,509,283 × 63,442,509,283
  4. Step 4: Simplify right side
    41,644,496,161x = 4,024,951,984,123,540,930,560
  5. Step 5: Solve for x
    x = 4,024,951,984,123,540,930,560/41,644,496,161
  6. Step 6: Final answer
    x = 96,650,274,469.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.