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Finding the Third Proportional to 5,870,790 and 11,906,721

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Solution

The third proportional to 5,870,790 and 11,906,721 is: 24,148,369.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870,790 : 11,906,721 = 11,906,721 : x
  2. Step 2: Convert to fraction form
    5,870,790/11,906,721 = 11,906,721/x
  3. Step 3: Cross multiply
    5,870,790x = 11,906,721 × 11,906,721
  4. Step 4: Simplify right side
    5,870,790x = 141,770,004,971,841
  5. Step 5: Solve for x
    x = 141,770,004,971,841/5,870,790
  6. Step 6: Final answer
    x = 24,148,369.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.