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Finding the Third Proportional to 227,647,837.13 and 489,822,663.38

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Solution

The third proportional to 227,647,837.13 and 489,822,663.38 is: 1,053,935,959.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,647,837.13 : 489,822,663.38 = 489,822,663.38 : x
  2. Step 2: Convert to fraction form
    227,647,837.13/489,822,663.38 = 489,822,663.38/x
  3. Step 3: Cross multiply
    227,647,837.13x = 489,822,663.38 × 489,822,663.38
  4. Step 4: Simplify right side
    227,647,837.13x = 239,926,241,555,778,560
  5. Step 5: Solve for x
    x = 239,926,241,555,778,560/227,647,837.13
  6. Step 6: Final answer
    x = 1,053,935,959.09

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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.