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Finding the Third Proportional to 40,449,736 and 89,145,114

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Solution

The third proportional to 40,449,736 and 89,145,114 is: 196,462,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,449,736 : 89,145,114 = 89,145,114 : x
  2. Step 2: Convert to fraction form
    40,449,736/89,145,114 = 89,145,114/x
  3. Step 3: Cross multiply
    40,449,736x = 89,145,114 × 89,145,114
  4. Step 4: Simplify right side
    40,449,736x = 7,946,851,350,072,996
  5. Step 5: Solve for x
    x = 7,946,851,350,072,996/40,449,736
  6. Step 6: Final answer
    x = 196,462,378.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.