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Finding the Third Proportional to 7,093,546 and 11,234,109

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Solution

The third proportional to 7,093,546 and 11,234,109 is: 17,791,553.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093,546 : 11,234,109 = 11,234,109 : x
  2. Step 2: Convert to fraction form
    7,093,546/11,234,109 = 11,234,109/x
  3. Step 3: Cross multiply
    7,093,546x = 11,234,109 × 11,234,109
  4. Step 4: Simplify right side
    7,093,546x = 126,205,205,023,881
  5. Step 5: Solve for x
    x = 126,205,205,023,881/7,093,546
  6. Step 6: Final answer
    x = 17,791,553.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.