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Finding the Third Proportional to 37,735,880 and 80,853,418

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Solution

The third proportional to 37,735,880 and 80,853,418 is: 173,237,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,735,880 : 80,853,418 = 80,853,418 : x
  2. Step 2: Convert to fraction form
    37,735,880/80,853,418 = 80,853,418/x
  3. Step 3: Cross multiply
    37,735,880x = 80,853,418 × 80,853,418
  4. Step 4: Simplify right side
    37,735,880x = 6,537,275,202,282,724
  5. Step 5: Solve for x
    x = 6,537,275,202,282,724/37,735,880
  6. Step 6: Final answer
    x = 173,237,650.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.