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Finding the Third Proportional to 13,845,863.25 and 21,494,517.75

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Solution

The third proportional to 13,845,863.25 and 21,494,517.75 is: 33,368,399.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,845,863.25 : 21,494,517.75 = 21,494,517.75 : x
  2. Step 2: Convert to fraction form
    13,845,863.25/21,494,517.75 = 21,494,517.75/x
  3. Step 3: Cross multiply
    13,845,863.25x = 21,494,517.75 × 21,494,517.75
  4. Step 4: Simplify right side
    13,845,863.25x = 462,014,293,305,065.06
  5. Step 5: Solve for x
    x = 462,014,293,305,065.06/13,845,863.25
  6. Step 6: Final answer
    x = 33,368,399.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.