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Finding the Third Proportional to 6,567,510 and 14,372,028

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Solution

The third proportional to 6,567,510 and 14,372,028 is: 31,451,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567,510 : 14,372,028 = 14,372,028 : x
  2. Step 2: Convert to fraction form
    6,567,510/14,372,028 = 14,372,028/x
  3. Step 3: Cross multiply
    6,567,510x = 14,372,028 × 14,372,028
  4. Step 4: Simplify right side
    6,567,510x = 206,555,188,832,784
  5. Step 5: Solve for x
    x = 206,555,188,832,784/6,567,510
  6. Step 6: Final answer
    x = 31,451,065.75

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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.