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Finding the Third Proportional to 16,382,821 and 35,491,737

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Solution

The third proportional to 16,382,821 and 35,491,737 is: 76,889,285.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382,821 : 35,491,737 = 35,491,737 : x
  2. Step 2: Convert to fraction form
    16,382,821/35,491,737 = 35,491,737/x
  3. Step 3: Cross multiply
    16,382,821x = 35,491,737 × 35,491,737
  4. Step 4: Simplify right side
    16,382,821x = 1,259,663,395,277,169
  5. Step 5: Solve for x
    x = 1,259,663,395,277,169/16,382,821
  6. Step 6: Final answer
    x = 76,889,285.14

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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.