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Finding the Third Proportional to 37,751,910 and 82,706,886

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Solution

The third proportional to 37,751,910 and 82,706,886 is: 181,194,249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,751,910 : 82,706,886 = 82,706,886 : x
  2. Step 2: Convert to fraction form
    37,751,910/82,706,886 = 82,706,886/x
  3. Step 3: Cross multiply
    37,751,910x = 82,706,886 × 82,706,886
  4. Step 4: Simplify right side
    37,751,910x = 6,840,428,991,816,996
  5. Step 5: Solve for x
    x = 6,840,428,991,816,996/37,751,910
  6. Step 6: Final answer
    x = 181,194,249.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.