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Finding the Third Proportional to 11,517,790 and 25,205,084

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Solution

The third proportional to 11,517,790 and 25,205,084 is: 55,157,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517,790 : 25,205,084 = 25,205,084 : x
  2. Step 2: Convert to fraction form
    11,517,790/25,205,084 = 25,205,084/x
  3. Step 3: Cross multiply
    11,517,790x = 25,205,084 × 25,205,084
  4. Step 4: Simplify right side
    11,517,790x = 635,296,259,447,056
  5. Step 5: Solve for x
    x = 635,296,259,447,056/11,517,790
  6. Step 6: Final answer
    x = 55,157,826.24

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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.