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Finding the Third Proportional to 227,647,896 and 489,822,780

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Solution

The third proportional to 227,647,896 and 489,822,780 is: 1,053,936,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,647,896 : 489,822,780 = 489,822,780 : x
  2. Step 2: Convert to fraction form
    227,647,896/489,822,780 = 489,822,780/x
  3. Step 3: Cross multiply
    227,647,896x = 489,822,780 × 489,822,780
  4. Step 4: Simplify right side
    227,647,896x = 239,926,355,806,928,384
  5. Step 5: Solve for x
    x = 239,926,355,806,928,384/227,647,896
  6. Step 6: Final answer
    x = 1,053,936,188.40

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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.