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Finding the Third Proportional to 13,769,433 and 18,632,166.75

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Solution

The third proportional to 13,769,433 and 18,632,166.75 is: 25,212,195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769,433 : 18,632,166.75 = 18,632,166.75 : x
  2. Step 2: Convert to fraction form
    13,769,433/18,632,166.75 = 18,632,166.75/x
  3. Step 3: Cross multiply
    13,769,433x = 18,632,166.75 × 18,632,166.75
  4. Step 4: Simplify right side
    13,769,433x = 347,157,637,799,805.56
  5. Step 5: Solve for x
    x = 347,157,637,799,805.56/13,769,433
  6. Step 6: Final answer
    x = 25,212,195.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.