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Finding the Third Proportional to 9,170,898 and 19,434,180

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Solution

The third proportional to 9,170,898 and 19,434,180 is: 41,183,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170,898 : 19,434,180 = 19,434,180 : x
  2. Step 2: Convert to fraction form
    9,170,898/19,434,180 = 19,434,180/x
  3. Step 3: Cross multiply
    9,170,898x = 19,434,180 × 19,434,180
  4. Step 4: Simplify right side
    9,170,898x = 377,687,352,272,400
  5. Step 5: Solve for x
    x = 377,687,352,272,400/9,170,898
  6. Step 6: Final answer
    x = 41,183,246.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.