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Finding the Third Proportional to 6,873,162 and 13,572,822

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Solution

The third proportional to 6,873,162 and 13,572,822 is: 26,803,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873,162 : 13,572,822 = 13,572,822 : x
  2. Step 2: Convert to fraction form
    6,873,162/13,572,822 = 13,572,822/x
  3. Step 3: Cross multiply
    6,873,162x = 13,572,822 × 13,572,822
  4. Step 4: Simplify right side
    6,873,162x = 184,221,497,043,684
  5. Step 5: Solve for x
    x = 184,221,497,043,684/6,873,162
  6. Step 6: Final answer
    x = 26,803,019.78

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.