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Finding the Third Proportional to 5,223,852 and 7,093,861.50

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Solution

The third proportional to 5,223,852 and 7,093,861.50 is: 9,633,288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223,852 : 7,093,861.50 = 7,093,861.50 : x
  2. Step 2: Convert to fraction form
    5,223,852/7,093,861.50 = 7,093,861.50/x
  3. Step 3: Cross multiply
    5,223,852x = 7,093,861.50 × 7,093,861.50
  4. Step 4: Simplify right side
    5,223,852x = 50,322,870,981,182.25
  5. Step 5: Solve for x
    x = 50,322,870,981,182.25/5,223,852
  6. Step 6: Final answer
    x = 9,633,288.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.