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Finding the Third Proportional to 17,042,736 and 23,971,746

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Solution

The third proportional to 17,042,736 and 23,971,746 is: 33,717,861.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,042,736 : 23,971,746 = 23,971,746 : x
  2. Step 2: Convert to fraction form
    17,042,736/23,971,746 = 23,971,746/x
  3. Step 3: Cross multiply
    17,042,736x = 23,971,746 × 23,971,746
  4. Step 4: Simplify right side
    17,042,736x = 574,644,606,288,516
  5. Step 5: Solve for x
    x = 574,644,606,288,516/17,042,736
  6. Step 6: Final answer
    x = 33,717,861.16

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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.