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Finding the Third Proportional to 82,247,807.53 and 180,639,046.69

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Solution

The third proportional to 82,247,807.53 and 180,639,046.69 is: 396,733,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,247,807.53 : 180,639,046.69 = 180,639,046.69 : x
  2. Step 2: Convert to fraction form
    82,247,807.53/180,639,046.69 = 180,639,046.69/x
  3. Step 3: Cross multiply
    82,247,807.53x = 180,639,046.69 × 180,639,046.69
  4. Step 4: Simplify right side
    82,247,807.53x = 32,630,465,188,168,804
  5. Step 5: Solve for x
    x = 32,630,465,188,168,804/82,247,807.53
  6. Step 6: Final answer
    x = 396,733,556.40

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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.