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Finding the Third Proportional to 7,828,115.91 and 16,193,208.66

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Solution

The third proportional to 7,828,115.91 and 16,193,208.66 is: 33,497,205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828,115.91 : 16,193,208.66 = 16,193,208.66 : x
  2. Step 2: Convert to fraction form
    7,828,115.91/16,193,208.66 = 16,193,208.66/x
  3. Step 3: Cross multiply
    7,828,115.91x = 16,193,208.66 × 16,193,208.66
  4. Step 4: Simplify right side
    7,828,115.91x = 262,220,006,584,849.94
  5. Step 5: Solve for x
    x = 262,220,006,584,849.94/7,828,115.91
  6. Step 6: Final answer
    x = 33,497,205.42

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.