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Finding the Third Proportional to 17,477,001 and 27,135,661

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Solution

The third proportional to 17,477,001 and 27,135,661 is: 42,132,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,477,001 : 27,135,661 = 27,135,661 : x
  2. Step 2: Convert to fraction form
    17,477,001/27,135,661 = 27,135,661/x
  3. Step 3: Cross multiply
    17,477,001x = 27,135,661 × 27,135,661
  4. Step 4: Simplify right side
    17,477,001x = 736,344,097,906,921
  5. Step 5: Solve for x
    x = 736,344,097,906,921/17,477,001
  6. Step 6: Final answer
    x = 42,132,176.91

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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.