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Finding the Third Proportional to 36,557,217 and 80,289,252

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Solution

The third proportional to 36,557,217 and 80,289,252 is: 176,336,289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,557,217 : 80,289,252 = 80,289,252 : x
  2. Step 2: Convert to fraction form
    36,557,217/80,289,252 = 80,289,252/x
  3. Step 3: Cross multiply
    36,557,217x = 80,289,252 × 80,289,252
  4. Step 4: Simplify right side
    36,557,217x = 6,446,363,986,719,504
  5. Step 5: Solve for x
    x = 6,446,363,986,719,504/36,557,217
  6. Step 6: Final answer
    x = 176,336,289.13

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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.