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Finding the Third Proportional to 83,288,992,311 and 126,885,018,552

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Solution

The third proportional to 83,288,992,311 and 126,885,018,552 is: 193,300,548,922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,288,992,311 : 126,885,018,552 = 126,885,018,552 : x
  2. Step 2: Convert to fraction form
    83,288,992,311/126,885,018,552 = 126,885,018,552/x
  3. Step 3: Cross multiply
    83,288,992,311x = 126,885,018,552 × 126,885,018,552
  4. Step 4: Simplify right side
    83,288,992,311x = 16,099,807,932,941,384,810,496
  5. Step 5: Solve for x
    x = 16,099,807,932,941,384,810,496/83,288,992,311
  6. Step 6: Final answer
    x = 193,300,548,922.78

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