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Finding the Third Proportional to 1,378,327,963.50 and 2,083,902,921

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Solution

The third proportional to 1,378,327,963.50 and 2,083,902,921 is: 3,150,666,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,327,963.50 : 2,083,902,921 = 2,083,902,921 : x
  2. Step 2: Convert to fraction form
    1,378,327,963.50/2,083,902,921 = 2,083,902,921/x
  3. Step 3: Cross multiply
    1,378,327,963.50x = 2,083,902,921 × 2,083,902,921
  4. Step 4: Simplify right side
    1,378,327,963.50x = 4,342,651,384,152,332,288
  5. Step 5: Solve for x
    x = 4,342,651,384,152,332,288/1,378,327,963.50
  6. Step 6: Final answer
    x = 3,150,666,241.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.