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Finding the Third Proportional to 36,162,921 and 54,580,676.25

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Solution

The third proportional to 36,162,921 and 54,580,676.25 is: 82,378,583.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,162,921 : 54,580,676.25 = 54,580,676.25 : x
  2. Step 2: Convert to fraction form
    36,162,921/54,580,676.25 = 54,580,676.25/x
  3. Step 3: Cross multiply
    36,162,921x = 54,580,676.25 × 54,580,676.25
  4. Step 4: Simplify right side
    36,162,921x = 2,979,050,219,907,314
  5. Step 5: Solve for x
    x = 2,979,050,219,907,314/36,162,921
  6. Step 6: Final answer
    x = 82,378,583.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.