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Finding the Third Proportional to 17,007,676 and 26,177,201

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Solution

The third proportional to 17,007,676 and 26,177,201 is: 40,290,387.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,007,676 : 26,177,201 = 26,177,201 : x
  2. Step 2: Convert to fraction form
    17,007,676/26,177,201 = 26,177,201/x
  3. Step 3: Cross multiply
    17,007,676x = 26,177,201 × 26,177,201
  4. Step 4: Simplify right side
    17,007,676x = 685,245,852,194,401
  5. Step 5: Solve for x
    x = 685,245,852,194,401/17,007,676
  6. Step 6: Final answer
    x = 40,290,387.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.