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Finding the Third Proportional to 227,647,809 and 489,822,612

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Solution

The third proportional to 227,647,809 and 489,822,612 is: 1,053,935,868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,647,809 : 489,822,612 = 489,822,612 : x
  2. Step 2: Convert to fraction form
    227,647,809/489,822,612 = 489,822,612/x
  3. Step 3: Cross multiply
    227,647,809x = 489,822,612 × 489,822,612
  4. Step 4: Simplify right side
    227,647,809x = 239,926,191,226,502,528
  5. Step 5: Solve for x
    x = 239,926,191,226,502,528/227,647,809
  6. Step 6: Final answer
    x = 1,053,935,868.22

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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.