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Finding the Third Proportional to 5,197,811 and 7,999,694

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Solution

The third proportional to 5,197,811 and 7,999,694 is: 12,311,933.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197,811 : 7,999,694 = 7,999,694 : x
  2. Step 2: Convert to fraction form
    5,197,811/7,999,694 = 7,999,694/x
  3. Step 3: Cross multiply
    5,197,811x = 7,999,694 × 7,999,694
  4. Step 4: Simplify right side
    5,197,811x = 63,995,104,093,636
  5. Step 5: Solve for x
    x = 63,995,104,093,636/5,197,811
  6. Step 6: Final answer
    x = 12,311,933.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.