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Finding the Third Proportional to 3,836,913,192 and 8,397,086,454

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Solution

The third proportional to 3,836,913,192 and 8,397,086,454 is: 18,377,027,935.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836,913,192 : 8,397,086,454 = 8,397,086,454 : x
  2. Step 2: Convert to fraction form
    3,836,913,192/8,397,086,454 = 8,397,086,454/x
  3. Step 3: Cross multiply
    3,836,913,192x = 8,397,086,454 × 8,397,086,454
  4. Step 4: Simplify right side
    3,836,913,192x = 70,511,060,915,950,297,088
  5. Step 5: Solve for x
    x = 70,511,060,915,950,297,088/3,836,913,192
  6. Step 6: Final answer
    x = 18,377,027,935.62

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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.