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Finding the Third Proportional to 37,361,108.25 and 82,077,462

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Solution

The third proportional to 37,361,108.25 and 82,077,462 is: 180,313,435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,361,108.25 : 82,077,462 = 82,077,462 : x
  2. Step 2: Convert to fraction form
    37,361,108.25/82,077,462 = 82,077,462/x
  3. Step 3: Cross multiply
    37,361,108.25x = 82,077,462 × 82,077,462
  4. Step 4: Simplify right side
    37,361,108.25x = 6,736,709,768,361,444
  5. Step 5: Solve for x
    x = 6,736,709,768,361,444/37,361,108.25
  6. Step 6: Final answer
    x = 180,313,435.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.