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Finding the Third Proportional to 17,438,968 and 37,543,142

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Solution

The third proportional to 17,438,968 and 37,543,142 is: 80,824,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,438,968 : 37,543,142 = 37,543,142 : x
  2. Step 2: Convert to fraction form
    17,438,968/37,543,142 = 37,543,142/x
  3. Step 3: Cross multiply
    17,438,968x = 37,543,142 × 37,543,142
  4. Step 4: Simplify right side
    17,438,968x = 1,409,487,511,232,164
  5. Step 5: Solve for x
    x = 1,409,487,511,232,164/17,438,968
  6. Step 6: Final answer
    x = 80,824,020.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.