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Finding the Third Proportional to 11,744,781.75 and 25,874,487

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Solution

The third proportional to 11,744,781.75 and 25,874,487 is: 57,003,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744,781.75 : 25,874,487 = 25,874,487 : x
  2. Step 2: Convert to fraction form
    11,744,781.75/25,874,487 = 25,874,487/x
  3. Step 3: Cross multiply
    11,744,781.75x = 25,874,487 × 25,874,487
  4. Step 4: Simplify right side
    11,744,781.75x = 669,489,077,513,169
  5. Step 5: Solve for x
    x = 669,489,077,513,169/11,744,781.75
  6. Step 6: Final answer
    x = 57,003,109.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.