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Finding the Third Proportional to 16,382,819.63 and 35,491,734.38

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Solution

The third proportional to 16,382,819.63 and 35,491,734.38 is: 76,889,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382,819.63 : 35,491,734.38 = 35,491,734.38 : x
  2. Step 2: Convert to fraction form
    16,382,819.63/35,491,734.38 = 35,491,734.38/x
  3. Step 3: Cross multiply
    16,382,819.63x = 35,491,734.38 × 35,491,734.38
  4. Step 4: Simplify right side
    16,382,819.63x = 1,259,663,208,945,556.75
  5. Step 5: Solve for x
    x = 1,259,663,208,945,556.75/16,382,819.63
  6. Step 6: Final answer
    x = 76,889,280.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.