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Finding the Third Proportional to 3,158,142.38 and 6,945,996.75

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Solution

The third proportional to 3,158,142.38 and 6,945,996.75 is: 15,276,977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158,142.38 : 6,945,996.75 = 6,945,996.75 : x
  2. Step 2: Convert to fraction form
    3,158,142.38/6,945,996.75 = 6,945,996.75/x
  3. Step 3: Cross multiply
    3,158,142.38x = 6,945,996.75 × 6,945,996.75
  4. Step 4: Simplify right side
    3,158,142.38x = 48,246,870,851,010.56
  5. Step 5: Solve for x
    x = 48,246,870,851,010.56/3,158,142.38
  6. Step 6: Final answer
    x = 15,276,977.77

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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.