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Finding the Third Proportional to 7,042,002 and 14,840,568

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Solution

The third proportional to 7,042,002 and 14,840,568 is: 31,275,546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042,002 : 14,840,568 = 14,840,568 : x
  2. Step 2: Convert to fraction form
    7,042,002/14,840,568 = 14,840,568/x
  3. Step 3: Cross multiply
    7,042,002x = 14,840,568 × 14,840,568
  4. Step 4: Simplify right side
    7,042,002x = 220,242,458,562,624
  5. Step 5: Solve for x
    x = 220,242,458,562,624/7,042,002
  6. Step 6: Final answer
    x = 31,275,546.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.