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Finding the Third Proportional to 31,987,850 and 69,072,762

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Solution

The third proportional to 31,987,850 and 69,072,762 is: 149,151,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,987,850 : 69,072,762 = 69,072,762 : x
  2. Step 2: Convert to fraction form
    31,987,850/69,072,762 = 69,072,762/x
  3. Step 3: Cross multiply
    31,987,850x = 69,072,762 × 69,072,762
  4. Step 4: Simplify right side
    31,987,850x = 4,771,046,450,308,644
  5. Step 5: Solve for x
    x = 4,771,046,450,308,644/31,987,850
  6. Step 6: Final answer
    x = 149,151,832.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.