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Finding the Third Proportional to 7,841,692 and 11,993,226

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Solution

The third proportional to 7,841,692 and 11,993,226 is: 18,342,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841,692 : 11,993,226 = 11,993,226 : x
  2. Step 2: Convert to fraction form
    7,841,692/11,993,226 = 11,993,226/x
  3. Step 3: Cross multiply
    7,841,692x = 11,993,226 × 11,993,226
  4. Step 4: Simplify right side
    7,841,692x = 143,837,469,887,076
  5. Step 5: Solve for x
    x = 143,837,469,887,076/7,841,692
  6. Step 6: Final answer
    x = 18,342,657.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.