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Finding the Third Proportional to 2,803,770,483 and 5,982,811,212

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Solution

The third proportional to 2,803,770,483 and 5,982,811,212 is: 12,766,390,906.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803,770,483 : 5,982,811,212 = 5,982,811,212 : x
  2. Step 2: Convert to fraction form
    2,803,770,483/5,982,811,212 = 5,982,811,212/x
  3. Step 3: Cross multiply
    2,803,770,483x = 5,982,811,212 × 5,982,811,212
  4. Step 4: Simplify right side
    2,803,770,483x = 35,794,029,998,432,907,264
  5. Step 5: Solve for x
    x = 35,794,029,998,432,907,264/2,803,770,483
  6. Step 6: Final answer
    x = 12,766,390,906.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.