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Finding the Third Proportional to 11,328,093 and 17,422,209

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Solution

The third proportional to 11,328,093 and 17,422,209 is: 26,794,745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,328,093 : 17,422,209 = 17,422,209 : x
  2. Step 2: Convert to fraction form
    11,328,093/17,422,209 = 17,422,209/x
  3. Step 3: Cross multiply
    11,328,093x = 17,422,209 × 17,422,209
  4. Step 4: Simplify right side
    11,328,093x = 303,533,366,439,681
  5. Step 5: Solve for x
    x = 303,533,366,439,681/11,328,093
  6. Step 6: Final answer
    x = 26,794,745.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.