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Finding the Third Proportional to 11,650,417 and 17,475,627

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Solution

The third proportional to 11,650,417 and 17,475,627 is: 26,213,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650,417 : 17,475,627 = 17,475,627 : x
  2. Step 2: Convert to fraction form
    11,650,417/17,475,627 = 17,475,627/x
  3. Step 3: Cross multiply
    11,650,417x = 17,475,627 × 17,475,627
  4. Step 4: Simplify right side
    11,650,417x = 305,397,539,043,129
  5. Step 5: Solve for x
    x = 305,397,539,043,129/11,650,417
  6. Step 6: Final answer
    x = 26,213,442.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.