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Finding the Third Proportional to 37,735,933 and 80,853,530

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Solution

The third proportional to 37,735,933 and 80,853,530 is: 173,237,887.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,735,933 : 80,853,530 = 80,853,530 : x
  2. Step 2: Convert to fraction form
    37,735,933/80,853,530 = 80,853,530/x
  3. Step 3: Cross multiply
    37,735,933x = 80,853,530 × 80,853,530
  4. Step 4: Simplify right side
    37,735,933x = 6,537,293,313,460,900
  5. Step 5: Solve for x
    x = 6,537,293,313,460,900/37,735,933
  6. Step 6: Final answer
    x = 173,237,887.44

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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.