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Finding the Third Proportional to 1,309,444,198 and 2,836,837,794

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Solution

The third proportional to 1,309,444,198 and 2,836,837,794 is: 6,145,850,798.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,444,198 : 2,836,837,794 = 2,836,837,794 : x
  2. Step 2: Convert to fraction form
    1,309,444,198/2,836,837,794 = 2,836,837,794/x
  3. Step 3: Cross multiply
    1,309,444,198x = 2,836,837,794 × 2,836,837,794
  4. Step 4: Simplify right side
    1,309,444,198x = 8,047,648,669,466,786,816
  5. Step 5: Solve for x
    x = 8,047,648,669,466,786,816/1,309,444,198
  6. Step 6: Final answer
    x = 6,145,850,798.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.