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Finding the Third Proportional to 31,318,744 and 47,914,098

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Solution

The third proportional to 31,318,744 and 47,914,098 is: 73,303,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,318,744 : 47,914,098 = 47,914,098 : x
  2. Step 2: Convert to fraction form
    31,318,744/47,914,098 = 47,914,098/x
  3. Step 3: Cross multiply
    31,318,744x = 47,914,098 × 47,914,098
  4. Step 4: Simplify right side
    31,318,744x = 2,295,760,787,153,604
  5. Step 5: Solve for x
    x = 2,295,760,787,153,604/31,318,744
  6. Step 6: Final answer
    x = 73,303,092.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.