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Finding the Third Proportional to 227,647,884 and 489,822,756

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Solution

The third proportional to 227,647,884 and 489,822,756 is: 1,053,936,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,647,884 : 489,822,756 = 489,822,756 : x
  2. Step 2: Convert to fraction form
    227,647,884/489,822,756 = 489,822,756/x
  3. Step 3: Cross multiply
    227,647,884x = 489,822,756 × 489,822,756
  4. Step 4: Simplify right side
    227,647,884x = 239,926,332,295,435,520
  5. Step 5: Solve for x
    x = 239,926,332,295,435,520/227,647,884
  6. Step 6: Final answer
    x = 1,053,936,140.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.