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Finding the Third Proportional to 31,269,736 and 47,150,680

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Solution

The third proportional to 31,269,736 and 47,150,680 is: 71,097,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,269,736 : 47,150,680 = 47,150,680 : x
  2. Step 2: Convert to fraction form
    31,269,736/47,150,680 = 47,150,680/x
  3. Step 3: Cross multiply
    31,269,736x = 47,150,680 × 47,150,680
  4. Step 4: Simplify right side
    31,269,736x = 2,223,186,624,462,400
  5. Step 5: Solve for x
    x = 2,223,186,624,462,400/31,269,736
  6. Step 6: Final answer
    x = 71,097,070.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.