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Finding the Third Proportional to 31,198,732 and 69,567,008

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Solution

The third proportional to 31,198,732 and 69,567,008 is: 155,120,682.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,198,732 : 69,567,008 = 69,567,008 : x
  2. Step 2: Convert to fraction form
    31,198,732/69,567,008 = 69,567,008/x
  3. Step 3: Cross multiply
    31,198,732x = 69,567,008 × 69,567,008
  4. Step 4: Simplify right side
    31,198,732x = 4,839,568,602,072,064
  5. Step 5: Solve for x
    x = 4,839,568,602,072,064/31,198,732
  6. Step 6: Final answer
    x = 155,120,682.54

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.