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Finding the Third Proportional to 7,431,965 and 11,370,075

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Solution

The third proportional to 7,431,965 and 11,370,075 is: 17,394,942.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431,965 : 11,370,075 = 11,370,075 : x
  2. Step 2: Convert to fraction form
    7,431,965/11,370,075 = 11,370,075/x
  3. Step 3: Cross multiply
    7,431,965x = 11,370,075 × 11,370,075
  4. Step 4: Simplify right side
    7,431,965x = 129,278,605,505,625
  5. Step 5: Solve for x
    x = 129,278,605,505,625/7,431,965
  6. Step 6: Final answer
    x = 17,394,942.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.