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Finding the Third Proportional to 3,469,974 and 7,519,094.25

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Solution

The third proportional to 3,469,974 and 7,519,094.25 is: 16,293,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469,974 : 7,519,094.25 = 7,519,094.25 : x
  2. Step 2: Convert to fraction form
    3,469,974/7,519,094.25 = 7,519,094.25/x
  3. Step 3: Cross multiply
    3,469,974x = 7,519,094.25 × 7,519,094.25
  4. Step 4: Simplify right side
    3,469,974x = 56,536,778,340,383.06
  5. Step 5: Solve for x
    x = 56,536,778,340,383.06/3,469,974
  6. Step 6: Final answer
    x = 16,293,141.78

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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.