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Finding the Third Proportional to 227,647,875 and 489,822,735

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Solution

The third proportional to 227,647,875 and 489,822,735 is: 1,053,936,091.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,647,875 : 489,822,735 = 489,822,735 : x
  2. Step 2: Convert to fraction form
    227,647,875/489,822,735 = 489,822,735/x
  3. Step 3: Cross multiply
    227,647,875x = 489,822,735 × 489,822,735
  4. Step 4: Simplify right side
    227,647,875x = 239,926,311,722,880,224
  5. Step 5: Solve for x
    x = 239,926,311,722,880,224/227,647,875
  6. Step 6: Final answer
    x = 1,053,936,091.97

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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.