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Finding the Third Proportional to 76,749,676 and 156,582,380

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Solution

The third proportional to 76,749,676 and 156,582,380 is: 319,454,660.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,749,676 : 156,582,380 = 156,582,380 : x
  2. Step 2: Convert to fraction form
    76,749,676/156,582,380 = 156,582,380/x
  3. Step 3: Cross multiply
    76,749,676x = 156,582,380 × 156,582,380
  4. Step 4: Simplify right side
    76,749,676x = 24,518,041,726,464,400
  5. Step 5: Solve for x
    x = 24,518,041,726,464,400/76,749,676
  6. Step 6: Final answer
    x = 319,454,660.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.