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Finding the Third Proportional to 13,770,222.75 and 21,492,704.25

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Solution

The third proportional to 13,770,222.75 and 21,492,704.25 is: 33,546,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770,222.75 : 21,492,704.25 = 21,492,704.25 : x
  2. Step 2: Convert to fraction form
    13,770,222.75/21,492,704.25 = 21,492,704.25/x
  3. Step 3: Cross multiply
    13,770,222.75x = 21,492,704.25 × 21,492,704.25
  4. Step 4: Simplify right side
    13,770,222.75x = 461,936,335,977,968.06
  5. Step 5: Solve for x
    x = 461,936,335,977,968.06/13,770,222.75
  6. Step 6: Final answer
    x = 33,546,032.21

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