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Finding the Third Proportional to 33,977,309.25 and 73,623,319.50

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Solution

The third proportional to 33,977,309.25 and 73,623,319.50 is: 159,529,794.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,977,309.25 : 73,623,319.50 = 73,623,319.50 : x
  2. Step 2: Convert to fraction form
    33,977,309.25/73,623,319.50 = 73,623,319.50/x
  3. Step 3: Cross multiply
    33,977,309.25x = 73,623,319.50 × 73,623,319.50
  4. Step 4: Simplify right side
    33,977,309.25x = 5,420,393,174,199,080
  5. Step 5: Solve for x
    x = 5,420,393,174,199,080/33,977,309.25
  6. Step 6: Final answer
    x = 159,529,794.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.