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Finding the Third Proportional to 37,361,117.25 and 82,077,480

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Solution

The third proportional to 37,361,117.25 and 82,077,480 is: 180,313,470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,361,117.25 : 82,077,480 = 82,077,480 : x
  2. Step 2: Convert to fraction form
    37,361,117.25/82,077,480 = 82,077,480/x
  3. Step 3: Cross multiply
    37,361,117.25x = 82,077,480 × 82,077,480
  4. Step 4: Simplify right side
    37,361,117.25x = 6,736,712,723,150,400
  5. Step 5: Solve for x
    x = 6,736,712,723,150,400/37,361,117.25
  6. Step 6: Final answer
    x = 180,313,470.77

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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.