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Finding the Third Proportional to 13,692,843 and 21,324,431.25

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Solution

The third proportional to 13,692,843 and 21,324,431.25 is: 33,209,419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692,843 : 21,324,431.25 = 21,324,431.25 : x
  2. Step 2: Convert to fraction form
    13,692,843/21,324,431.25 = 21,324,431.25/x
  3. Step 3: Cross multiply
    13,692,843x = 21,324,431.25 × 21,324,431.25
  4. Step 4: Simplify right side
    13,692,843x = 454,731,368,135,976.56
  5. Step 5: Solve for x
    x = 454,731,368,135,976.56/13,692,843
  6. Step 6: Final answer
    x = 33,209,419.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.