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Finding the Third Proportional to 2,129,253,886 and 4,633,443,003

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Solution

The third proportional to 2,129,253,886 and 4,633,443,003 is: 10,082,777,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,253,886 : 4,633,443,003 = 4,633,443,003 : x
  2. Step 2: Convert to fraction form
    2,129,253,886/4,633,443,003 = 4,633,443,003/x
  3. Step 3: Cross multiply
    2,129,253,886x = 4,633,443,003 × 4,633,443,003
  4. Step 4: Simplify right side
    2,129,253,886x = 21,468,794,062,049,656,832
  5. Step 5: Solve for x
    x = 21,468,794,062,049,656,832/2,129,253,886
  6. Step 6: Final answer
    x = 10,082,777,917.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.