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Finding the Third Proportional to 37,196,664 and 80,093,184

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Solution

The third proportional to 37,196,664 and 80,093,184 is: 172,459,501.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,196,664 : 80,093,184 = 80,093,184 : x
  2. Step 2: Convert to fraction form
    37,196,664/80,093,184 = 80,093,184/x
  3. Step 3: Cross multiply
    37,196,664x = 80,093,184 × 80,093,184
  4. Step 4: Simplify right side
    37,196,664x = 6,414,918,123,257,856
  5. Step 5: Solve for x
    x = 6,414,918,123,257,856/37,196,664
  6. Step 6: Final answer
    x = 172,459,501.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.