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Finding the Third Proportional to 17,042,742 and 23,971,754

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Solution

The third proportional to 17,042,742 and 23,971,754 is: 33,717,871.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,042,742 : 23,971,754 = 23,971,754 : x
  2. Step 2: Convert to fraction form
    17,042,742/23,971,754 = 23,971,754/x
  3. Step 3: Cross multiply
    17,042,742x = 23,971,754 × 23,971,754
  4. Step 4: Simplify right side
    17,042,742x = 574,644,989,836,516
  5. Step 5: Solve for x
    x = 574,644,989,836,516/17,042,742
  6. Step 6: Final answer
    x = 33,717,871.80

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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.