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Finding the Third Proportional to 3,077,978 and 6,681,654

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Solution

The third proportional to 3,077,978 and 6,681,654 is: 14,504,489.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077,978 : 6,681,654 = 6,681,654 : x
  2. Step 2: Convert to fraction form
    3,077,978/6,681,654 = 6,681,654/x
  3. Step 3: Cross multiply
    3,077,978x = 6,681,654 × 6,681,654
  4. Step 4: Simplify right side
    3,077,978x = 44,644,500,175,716
  5. Step 5: Solve for x
    x = 44,644,500,175,716/3,077,978
  6. Step 6: Final answer
    x = 14,504,489.69

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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.