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Finding the Third Proportional to 2,483,778,578 and 5,040,541,720

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Solution

The third proportional to 2,483,778,578 and 5,040,541,720 is: 10,229,197,182.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483,778,578 : 5,040,541,720 = 5,040,541,720 : x
  2. Step 2: Convert to fraction form
    2,483,778,578/5,040,541,720 = 5,040,541,720/x
  3. Step 3: Cross multiply
    2,483,778,578x = 5,040,541,720 × 5,040,541,720
  4. Step 4: Simplify right side
    2,483,778,578x = 25,407,060,831,060,557,824
  5. Step 5: Solve for x
    x = 25,407,060,831,060,557,824/2,483,778,578
  6. Step 6: Final answer
    x = 10,229,197,182.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.