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Finding the Third Proportional to 49,652,647 and 77,497,067

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Solution

The third proportional to 49,652,647 and 77,497,067 is: 120,956,197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,652,647 : 77,497,067 = 77,497,067 : x
  2. Step 2: Convert to fraction form
    49,652,647/77,497,067 = 77,497,067/x
  3. Step 3: Cross multiply
    49,652,647x = 77,497,067 × 77,497,067
  4. Step 4: Simplify right side
    49,652,647x = 6,005,795,393,602,489
  5. Step 5: Solve for x
    x = 6,005,795,393,602,489/49,652,647
  6. Step 6: Final answer
    x = 120,956,197.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.