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Finding the Third Proportional to 2,501,967 and 5,491,104

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Solution

The third proportional to 2,501,967 and 5,491,104 is: 12,051,407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501,967 : 5,491,104 = 5,491,104 : x
  2. Step 2: Convert to fraction form
    2,501,967/5,491,104 = 5,491,104/x
  3. Step 3: Cross multiply
    2,501,967x = 5,491,104 × 5,491,104
  4. Step 4: Simplify right side
    2,501,967x = 30,152,223,138,816
  5. Step 5: Solve for x
    x = 30,152,223,138,816/2,501,967
  6. Step 6: Final answer
    x = 12,051,407.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.