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Finding the Third Proportional to 17,728,869.94 and 38,820,768.75

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Solution

The third proportional to 17,728,869.94 and 38,820,768.75 is: 85,005,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728,869.94 : 38,820,768.75 = 38,820,768.75 : x
  2. Step 2: Convert to fraction form
    17,728,869.94/38,820,768.75 = 38,820,768.75/x
  3. Step 3: Cross multiply
    17,728,869.94x = 38,820,768.75 × 38,820,768.75
  4. Step 4: Simplify right side
    17,728,869.94x = 1,507,052,086,340,976.50
  5. Step 5: Solve for x
    x = 1,507,052,086,340,976.50/17,728,869.94
  6. Step 6: Final answer
    x = 85,005,535.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.