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Finding the Third Proportional to 4,191,934.50 and 8,981,466.75

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Solution

The third proportional to 4,191,934.50 and 8,981,466.75 is: 19,243,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191,934.50 : 8,981,466.75 = 8,981,466.75 : x
  2. Step 2: Convert to fraction form
    4,191,934.50/8,981,466.75 = 8,981,466.75/x
  3. Step 3: Cross multiply
    4,191,934.50x = 8,981,466.75 × 8,981,466.75
  4. Step 4: Simplify right side
    4,191,934.50x = 80,666,744,981,355.56
  5. Step 5: Solve for x
    x = 80,666,744,981,355.56/4,191,934.50
  6. Step 6: Final answer
    x = 19,243,321.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.