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Finding the Third Proportional to 3,199,565 and 6,997,716

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Solution

The third proportional to 3,199,565 and 6,997,716 is: 15,304,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199,565 : 6,997,716 = 6,997,716 : x
  2. Step 2: Convert to fraction form
    3,199,565/6,997,716 = 6,997,716/x
  3. Step 3: Cross multiply
    3,199,565x = 6,997,716 × 6,997,716
  4. Step 4: Simplify right side
    3,199,565x = 48,968,029,216,656
  5. Step 5: Solve for x
    x = 48,968,029,216,656/3,199,565
  6. Step 6: Final answer
    x = 15,304,589.60

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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.