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Finding the Third Proportional to 227,647,882 and 489,822,752

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Solution

The third proportional to 227,647,882 and 489,822,752 is: 1,053,936,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,647,882 : 489,822,752 = 489,822,752 : x
  2. Step 2: Convert to fraction form
    227,647,882/489,822,752 = 489,822,752/x
  3. Step 3: Cross multiply
    227,647,882x = 489,822,752 × 489,822,752
  4. Step 4: Simplify right side
    227,647,882x = 239,926,328,376,853,504
  5. Step 5: Solve for x
    x = 239,926,328,376,853,504/227,647,882
  6. Step 6: Final answer
    x = 1,053,936,132.72

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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.