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Finding the Third Proportional to 3,158,150 and 6,946,014

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Solution

The third proportional to 3,158,150 and 6,946,014 is: 15,277,016.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158,150 : 6,946,014 = 6,946,014 : x
  2. Step 2: Convert to fraction form
    3,158,150/6,946,014 = 6,946,014/x
  3. Step 3: Cross multiply
    3,158,150x = 6,946,014 × 6,946,014
  4. Step 4: Simplify right side
    3,158,150x = 48,247,110,488,196
  5. Step 5: Solve for x
    x = 48,247,110,488,196/3,158,150
  6. Step 6: Final answer
    x = 15,277,016.76

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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.