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Finding the Third Proportional to 17,042,724 and 23,971,728

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Solution

The third proportional to 17,042,724 and 23,971,728 is: 33,717,834.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,042,724 : 23,971,728 = 23,971,728 : x
  2. Step 2: Convert to fraction form
    17,042,724/23,971,728 = 23,971,728/x
  3. Step 3: Cross multiply
    17,042,724x = 23,971,728 × 23,971,728
  4. Step 4: Simplify right side
    17,042,724x = 574,643,743,305,984
  5. Step 5: Solve for x
    x = 574,643,743,305,984/17,042,724
  6. Step 6: Final answer
    x = 33,717,834.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.