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Finding the Third Proportional to 36,777,749.25 and 77,366,892.75

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Solution

The third proportional to 36,777,749.25 and 77,366,892.75 is: 162,751,560.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,777,749.25 : 77,366,892.75 = 77,366,892.75 : x
  2. Step 2: Convert to fraction form
    36,777,749.25/77,366,892.75 = 77,366,892.75/x
  3. Step 3: Cross multiply
    36,777,749.25x = 77,366,892.75 × 77,366,892.75
  4. Step 4: Simplify right side
    36,777,749.25x = 5,985,636,093,790,003
  5. Step 5: Solve for x
    x = 5,985,636,093,790,003/36,777,749.25
  6. Step 6: Final answer
    x = 162,751,560.82

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.