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Finding the Third Proportional to 5,974,311,530 and 8,631,105,339

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Solution

The third proportional to 5,974,311,530 and 8,631,105,339 is: 12,469,383,124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974,311,530 : 8,631,105,339 = 8,631,105,339 : x
  2. Step 2: Convert to fraction form
    5,974,311,530/8,631,105,339 = 8,631,105,339/x
  3. Step 3: Cross multiply
    5,974,311,530x = 8,631,105,339 × 8,631,105,339
  4. Step 4: Simplify right side
    5,974,311,530x = 74,495,979,372,914,311,168
  5. Step 5: Solve for x
    x = 74,495,979,372,914,311,168/5,974,311,530
  6. Step 6: Final answer
    x = 12,469,383,124.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.