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Finding the Third Proportional to 5,381,138 and 11,707,060

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Solution

The third proportional to 5,381,138 and 11,707,060 is: 25,469,566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381,138 : 11,707,060 = 11,707,060 : x
  2. Step 2: Convert to fraction form
    5,381,138/11,707,060 = 11,707,060/x
  3. Step 3: Cross multiply
    5,381,138x = 11,707,060 × 11,707,060
  4. Step 4: Simplify right side
    5,381,138x = 137,055,253,843,600
  5. Step 5: Solve for x
    x = 137,055,253,843,600/5,381,138
  6. Step 6: Final answer
    x = 25,469,566.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.