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Finding the Third Proportional to 12,202,170.75 and 18,428,310

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Solution

The third proportional to 12,202,170.75 and 18,428,310 is: 27,831,327.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202,170.75 : 18,428,310 = 18,428,310 : x
  2. Step 2: Convert to fraction form
    12,202,170.75/18,428,310 = 18,428,310/x
  3. Step 3: Cross multiply
    12,202,170.75x = 18,428,310 × 18,428,310
  4. Step 4: Simplify right side
    12,202,170.75x = 339,602,609,456,100
  5. Step 5: Solve for x
    x = 339,602,609,456,100/12,202,170.75
  6. Step 6: Final answer
    x = 27,831,327.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.