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Finding the Third Proportional to 17,764,879.50 and 38,172,208.50

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Solution

The third proportional to 17,764,879.50 and 38,172,208.50 is: 82,022,369.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764,879.50 : 38,172,208.50 = 38,172,208.50 : x
  2. Step 2: Convert to fraction form
    17,764,879.50/38,172,208.50 = 38,172,208.50/x
  3. Step 3: Cross multiply
    17,764,879.50x = 38,172,208.50 × 38,172,208.50
  4. Step 4: Simplify right side
    17,764,879.50x = 1,457,117,501,767,472.25
  5. Step 5: Solve for x
    x = 1,457,117,501,767,472.25/17,764,879.50
  6. Step 6: Final answer
    x = 82,022,369.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.