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Finding the Third Proportional to 13,997,144.25 and 20,015,940.38

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Solution

The third proportional to 13,997,144.25 and 20,015,940.38 is: 28,622,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997,144.25 : 20,015,940.38 = 20,015,940.38 : x
  2. Step 2: Convert to fraction form
    13,997,144.25/20,015,940.38 = 20,015,940.38/x
  3. Step 3: Cross multiply
    13,997,144.25x = 20,015,940.38 × 20,015,940.38
  4. Step 4: Simplify right side
    13,997,144.25x = 400,637,869,095,555.12
  5. Step 5: Solve for x
    x = 400,637,869,095,555.12/13,997,144.25
  6. Step 6: Final answer
    x = 28,622,829.20

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.