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Finding the Third Proportional to 49,356,439,904 and 75,191,122,132

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Solution

The third proportional to 49,356,439,904 and 75,191,122,132 is: 114,548,473,481.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,356,439,904 : 75,191,122,132 = 75,191,122,132 : x
  2. Step 2: Convert to fraction form
    49,356,439,904/75,191,122,132 = 75,191,122,132/x
  3. Step 3: Cross multiply
    49,356,439,904x = 75,191,122,132 × 75,191,122,132
  4. Step 4: Simplify right side
    49,356,439,904x = 5,653,704,847,469,340,262,400
  5. Step 5: Solve for x
    x = 5,653,704,847,469,340,262,400/49,356,439,904
  6. Step 6: Final answer
    x = 114,548,473,481.19

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.