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Finding the Third Proportional to 7,431,967 and 11,370,078

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Solution

The third proportional to 7,431,967 and 11,370,078 is: 17,394,947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431,967 : 11,370,078 = 11,370,078 : x
  2. Step 2: Convert to fraction form
    7,431,967/11,370,078 = 11,370,078/x
  3. Step 3: Cross multiply
    7,431,967x = 11,370,078 × 11,370,078
  4. Step 4: Simplify right side
    7,431,967x = 129,278,673,726,084
  5. Step 5: Solve for x
    x = 129,278,673,726,084/7,431,967
  6. Step 6: Final answer
    x = 17,394,947.22

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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.