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Finding the Third Proportional to 3,145,214 and 6,879,280

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Solution

The third proportional to 3,145,214 and 6,879,280 is: 15,046,509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145,214 : 6,879,280 = 6,879,280 : x
  2. Step 2: Convert to fraction form
    3,145,214/6,879,280 = 6,879,280/x
  3. Step 3: Cross multiply
    3,145,214x = 6,879,280 × 6,879,280
  4. Step 4: Simplify right side
    3,145,214x = 47,324,493,318,400
  5. Step 5: Solve for x
    x = 47,324,493,318,400/3,145,214
  6. Step 6: Final answer
    x = 15,046,509.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.