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Finding the Third Proportional to 13,330,224 and 20,182,284

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Solution

The third proportional to 13,330,224 and 20,182,284 is: 30,556,469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,330,224 : 20,182,284 = 20,182,284 : x
  2. Step 2: Convert to fraction form
    13,330,224/20,182,284 = 20,182,284/x
  3. Step 3: Cross multiply
    13,330,224x = 20,182,284 × 20,182,284
  4. Step 4: Simplify right side
    13,330,224x = 407,324,587,456,656
  5. Step 5: Solve for x
    x = 407,324,587,456,656/13,330,224
  6. Step 6: Final answer
    x = 30,556,469.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.