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Finding the Third Proportional to 7,807,449 and 16,917,975

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Solution

The third proportional to 7,807,449 and 16,917,975 is: 36,659,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807,449 : 16,917,975 = 16,917,975 : x
  2. Step 2: Convert to fraction form
    7,807,449/16,917,975 = 16,917,975/x
  3. Step 3: Cross multiply
    7,807,449x = 16,917,975 × 16,917,975
  4. Step 4: Simplify right side
    7,807,449x = 286,217,878,100,625
  5. Step 5: Solve for x
    x = 286,217,878,100,625/7,807,449
  6. Step 6: Final answer
    x = 36,659,589.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.