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Finding the Third Proportional to 1,419,400,794 and 3,106,378,860

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Solution

The third proportional to 1,419,400,794 and 3,106,378,860 is: 6,798,354,391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,400,794 : 3,106,378,860 = 3,106,378,860 : x
  2. Step 2: Convert to fraction form
    1,419,400,794/3,106,378,860 = 3,106,378,860/x
  3. Step 3: Cross multiply
    1,419,400,794x = 3,106,378,860 × 3,106,378,860
  4. Step 4: Simplify right side
    1,419,400,794x = 9,649,589,621,854,900,224
  5. Step 5: Solve for x
    x = 9,649,589,621,854,900,224/1,419,400,794
  6. Step 6: Final answer
    x = 6,798,354,391.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.