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Finding the Third Proportional to 16,297,786 and 34,538,324

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Solution

The third proportional to 16,297,786 and 34,538,324 is: 73,193,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297,786 : 34,538,324 = 34,538,324 : x
  2. Step 2: Convert to fraction form
    16,297,786/34,538,324 = 34,538,324/x
  3. Step 3: Cross multiply
    16,297,786x = 34,538,324 × 34,538,324
  4. Step 4: Simplify right side
    16,297,786x = 1,192,895,824,728,976
  5. Step 5: Solve for x
    x = 1,192,895,824,728,976/16,297,786
  6. Step 6: Final answer
    x = 73,193,734.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.