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Finding the Third Proportional to 2,637,198 and 5,414,202

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Solution

The third proportional to 2,637,198 and 5,414,202 is: 11,115,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637,198 : 5,414,202 = 5,414,202 : x
  2. Step 2: Convert to fraction form
    2,637,198/5,414,202 = 5,414,202/x
  3. Step 3: Cross multiply
    2,637,198x = 5,414,202 × 5,414,202
  4. Step 4: Simplify right side
    2,637,198x = 29,313,583,296,804
  5. Step 5: Solve for x
    x = 29,313,583,296,804/2,637,198
  6. Step 6: Final answer
    x = 11,115,427.55

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.