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Finding the Third Proportional to 16,782,648.75 and 23,688,591.75

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Solution

The third proportional to 16,782,648.75 and 23,688,591.75 is: 33,436,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782,648.75 : 23,688,591.75 = 23,688,591.75 : x
  2. Step 2: Convert to fraction form
    16,782,648.75/23,688,591.75 = 23,688,591.75/x
  3. Step 3: Cross multiply
    16,782,648.75x = 23,688,591.75 × 23,688,591.75
  4. Step 4: Simplify right side
    16,782,648.75x = 561,149,379,098,168.06
  5. Step 5: Solve for x
    x = 561,149,379,098,168.06/16,782,648.75
  6. Step 6: Final answer
    x = 33,436,282.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.