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Finding the Third Proportional to 227,647,876 and 489,822,740

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Solution

The third proportional to 227,647,876 and 489,822,740 is: 1,053,936,108.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,647,876 : 489,822,740 = 489,822,740 : x
  2. Step 2: Convert to fraction form
    227,647,876/489,822,740 = 489,822,740/x
  3. Step 3: Cross multiply
    227,647,876x = 489,822,740 × 489,822,740
  4. Step 4: Simplify right side
    227,647,876x = 239,926,316,621,107,584
  5. Step 5: Solve for x
    x = 239,926,316,621,107,584/227,647,876
  6. Step 6: Final answer
    x = 1,053,936,108.86

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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.