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Finding the Third Proportional to 37,735,900 and 80,853,464

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Solution

The third proportional to 37,735,900 and 80,853,464 is: 173,237,756.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,735,900 : 80,853,464 = 80,853,464 : x
  2. Step 2: Convert to fraction form
    37,735,900/80,853,464 = 80,853,464/x
  3. Step 3: Cross multiply
    37,735,900x = 80,853,464 × 80,853,464
  4. Step 4: Simplify right side
    37,735,900x = 6,537,282,640,799,296
  5. Step 5: Solve for x
    x = 6,537,282,640,799,296/37,735,900
  6. Step 6: Final answer
    x = 173,237,756.11

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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.