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Finding the Third Proportional to 3,158,142 and 6,945,996

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Solution

The third proportional to 3,158,142 and 6,945,996 is: 15,276,976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158,142 : 6,945,996 = 6,945,996 : x
  2. Step 2: Convert to fraction form
    3,158,142/6,945,996 = 6,945,996/x
  3. Step 3: Cross multiply
    3,158,142x = 6,945,996 × 6,945,996
  4. Step 4: Simplify right side
    3,158,142x = 48,246,860,432,016
  5. Step 5: Solve for x
    x = 48,246,860,432,016/3,158,142
  6. Step 6: Final answer
    x = 15,276,976.28

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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.