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Finding the Third Proportional to 17,631,569 and 27,245,271

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Solution

The third proportional to 17,631,569 and 27,245,271 is: 42,100,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,631,569 : 27,245,271 = 27,245,271 : x
  2. Step 2: Convert to fraction form
    17,631,569/27,245,271 = 27,245,271/x
  3. Step 3: Cross multiply
    17,631,569x = 27,245,271 × 27,245,271
  4. Step 4: Simplify right side
    17,631,569x = 742,304,791,863,441
  5. Step 5: Solve for x
    x = 742,304,791,863,441/17,631,569
  6. Step 6: Final answer
    x = 42,100,892.54

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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.