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Finding the Third Proportional to 6,842,091 and 14,694,990

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Solution

The third proportional to 6,842,091 and 14,694,990 is: 31,560,926.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842,091 : 14,694,990 = 14,694,990 : x
  2. Step 2: Convert to fraction form
    6,842,091/14,694,990 = 14,694,990/x
  3. Step 3: Cross multiply
    6,842,091x = 14,694,990 × 14,694,990
  4. Step 4: Simplify right side
    6,842,091x = 215,942,731,100,100
  5. Step 5: Solve for x
    x = 215,942,731,100,100/6,842,091
  6. Step 6: Final answer
    x = 31,560,926.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.