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Finding the Third Proportional to 2,129,253,960 and 4,633,443,149

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Solution

The third proportional to 2,129,253,960 and 4,633,443,149 is: 10,082,778,202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,253,960 : 4,633,443,149 = 4,633,443,149 : x
  2. Step 2: Convert to fraction form
    2,129,253,960/4,633,443,149 = 4,633,443,149/x
  3. Step 3: Cross multiply
    2,129,253,960x = 4,633,443,149 × 4,633,443,149
  4. Step 4: Simplify right side
    2,129,253,960x = 21,468,795,415,015,034,880
  5. Step 5: Solve for x
    x = 21,468,795,415,015,034,880/2,129,253,960
  6. Step 6: Final answer
    x = 10,082,778,202.28

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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.