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Finding the Third Proportional to 1,049,729,843 and 2,255,242,976

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Solution

The third proportional to 1,049,729,843 and 2,255,242,976 is: 4,845,171,274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,729,843 : 2,255,242,976 = 2,255,242,976 : x
  2. Step 2: Convert to fraction form
    1,049,729,843/2,255,242,976 = 2,255,242,976/x
  3. Step 3: Cross multiply
    1,049,729,843x = 2,255,242,976 × 2,255,242,976
  4. Step 4: Simplify right side
    1,049,729,843x = 5,086,120,880,797,336,576
  5. Step 5: Solve for x
    x = 5,086,120,880,797,336,576/1,049,729,843
  6. Step 6: Final answer
    x = 4,845,171,274.03

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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.