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Finding the Third Proportional to 37,741,288.50 and 82,548,765

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Solution

The third proportional to 37,741,288.50 and 82,548,765 is: 180,552,887.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,741,288.50 : 82,548,765 = 82,548,765 : x
  2. Step 2: Convert to fraction form
    37,741,288.50/82,548,765 = 82,548,765/x
  3. Step 3: Cross multiply
    37,741,288.50x = 82,548,765 × 82,548,765
  4. Step 4: Simplify right side
    37,741,288.50x = 6,814,298,603,025,225
  5. Step 5: Solve for x
    x = 6,814,298,603,025,225/37,741,288.50
  6. Step 6: Final answer
    x = 180,552,887.14

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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.