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Finding the Third Proportional to 3,409,198 and 7,575,138

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Solution

The third proportional to 3,409,198 and 7,575,138 is: 16,831,734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409,198 : 7,575,138 = 7,575,138 : x
  2. Step 2: Convert to fraction form
    3,409,198/7,575,138 = 7,575,138/x
  3. Step 3: Cross multiply
    3,409,198x = 7,575,138 × 7,575,138
  4. Step 4: Simplify right side
    3,409,198x = 57,382,715,719,044
  5. Step 5: Solve for x
    x = 57,382,715,719,044/3,409,198
  6. Step 6: Final answer
    x = 16,831,734.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.