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Finding the Third Proportional to 16,165,959.75 and 35,022,654

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Solution

The third proportional to 16,165,959.75 and 35,022,654 is: 75,874,634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165,959.75 : 35,022,654 = 35,022,654 : x
  2. Step 2: Convert to fraction form
    16,165,959.75/35,022,654 = 35,022,654/x
  3. Step 3: Cross multiply
    16,165,959.75x = 35,022,654 × 35,022,654
  4. Step 4: Simplify right side
    16,165,959.75x = 1,226,586,293,203,716
  5. Step 5: Solve for x
    x = 1,226,586,293,203,716/16,165,959.75
  6. Step 6: Final answer
    x = 75,874,634.86

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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.