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Finding the Third Proportional to 5,263,562.25 and 11,517,714

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Solution

The third proportional to 5,263,562.25 and 11,517,714 is: 25,203,033.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263,562.25 : 11,517,714 = 11,517,714 : x
  2. Step 2: Convert to fraction form
    5,263,562.25/11,517,714 = 11,517,714/x
  3. Step 3: Cross multiply
    5,263,562.25x = 11,517,714 × 11,517,714
  4. Step 4: Simplify right side
    5,263,562.25x = 132,657,735,785,796
  5. Step 5: Solve for x
    x = 132,657,735,785,796/5,263,562.25
  6. Step 6: Final answer
    x = 25,203,033.51

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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.