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Finding the Third Proportional to 37,735,876 and 80,853,410

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Solution

The third proportional to 37,735,876 and 80,853,410 is: 173,237,634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,735,876 : 80,853,410 = 80,853,410 : x
  2. Step 2: Convert to fraction form
    37,735,876/80,853,410 = 80,853,410/x
  3. Step 3: Cross multiply
    37,735,876x = 80,853,410 × 80,853,410
  4. Step 4: Simplify right side
    37,735,876x = 6,537,273,908,628,100
  5. Step 5: Solve for x
    x = 6,537,273,908,628,100/37,735,876
  6. Step 6: Final answer
    x = 173,237,634.89

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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.