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Finding the Third Proportional to 3,138,162.75 and 4,847,155.17

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Solution

The third proportional to 3,138,162.75 and 4,847,155.17 is: 7,486,837.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138,162.75 : 4,847,155.17 = 4,847,155.17 : x
  2. Step 2: Convert to fraction form
    3,138,162.75/4,847,155.17 = 4,847,155.17/x
  3. Step 3: Cross multiply
    3,138,162.75x = 4,847,155.17 × 4,847,155.17
  4. Step 4: Simplify right side
    3,138,162.75x = 23,494,913,260,234.56
  5. Step 5: Solve for x
    x = 23,494,913,260,234.56/3,138,162.75
  6. Step 6: Final answer
    x = 7,486,837.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.