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Finding the Third Proportional to 17,477,009 and 27,135,672

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Solution

The third proportional to 17,477,009 and 27,135,672 is: 42,132,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,477,009 : 27,135,672 = 27,135,672 : x
  2. Step 2: Convert to fraction form
    17,477,009/27,135,672 = 27,135,672/x
  3. Step 3: Cross multiply
    17,477,009x = 27,135,672 × 27,135,672
  4. Step 4: Simplify right side
    17,477,009x = 736,344,694,891,584
  5. Step 5: Solve for x
    x = 736,344,694,891,584/17,477,009
  6. Step 6: Final answer
    x = 42,132,191.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.