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Finding the Third Proportional to 36,515,144.25 and 77,104,683

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Solution

The third proportional to 36,515,144.25 and 77,104,683 is: 162,812,779.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,515,144.25 : 77,104,683 = 77,104,683 : x
  2. Step 2: Convert to fraction form
    36,515,144.25/77,104,683 = 77,104,683/x
  3. Step 3: Cross multiply
    36,515,144.25x = 77,104,683 × 77,104,683
  4. Step 4: Simplify right side
    36,515,144.25x = 5,945,132,140,530,489
  5. Step 5: Solve for x
    x = 5,945,132,140,530,489/36,515,144.25
  6. Step 6: Final answer
    x = 162,812,779.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.