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Finding the Third Proportional to 82,247,832 and 180,639,184

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Solution

The third proportional to 82,247,832 and 180,639,184 is: 396,734,041.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,247,832 : 180,639,184 = 180,639,184 : x
  2. Step 2: Convert to fraction form
    82,247,832/180,639,184 = 180,639,184/x
  3. Step 3: Cross multiply
    82,247,832x = 180,639,184 × 180,639,184
  4. Step 4: Simplify right side
    82,247,832x = 32,630,514,796,185,856
  5. Step 5: Solve for x
    x = 32,630,514,796,185,856/82,247,832
  6. Step 6: Final answer
    x = 396,734,041.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.