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Finding the Third Proportional to 1,372,269,702 and 2,120,384,210

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Solution

The third proportional to 1,372,269,702 and 2,120,384,210 is: 3,276,345,161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372,269,702 : 2,120,384,210 = 2,120,384,210 : x
  2. Step 2: Convert to fraction form
    1,372,269,702/2,120,384,210 = 2,120,384,210/x
  3. Step 3: Cross multiply
    1,372,269,702x = 2,120,384,210 × 2,120,384,210
  4. Step 4: Simplify right side
    1,372,269,702x = 4,496,029,198,017,324,032
  5. Step 5: Solve for x
    x = 4,496,029,198,017,324,032/1,372,269,702
  6. Step 6: Final answer
    x = 3,276,345,161.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.