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Finding the Third Proportional to 5,981,569.50 and 8,970,158

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Solution

The third proportional to 5,981,569.50 and 8,970,158 is: 13,451,943.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981,569.50 : 8,970,158 = 8,970,158 : x
  2. Step 2: Convert to fraction form
    5,981,569.50/8,970,158 = 8,970,158/x
  3. Step 3: Cross multiply
    5,981,569.50x = 8,970,158 × 8,970,158
  4. Step 4: Simplify right side
    5,981,569.50x = 80,463,734,544,964
  5. Step 5: Solve for x
    x = 80,463,734,544,964/5,981,569.50
  6. Step 6: Final answer
    x = 13,451,943.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.