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Finding the Third Proportional to 49,356,439,887 and 75,191,122,103

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Solution

The third proportional to 49,356,439,887 and 75,191,122,103 is: 114,548,473,432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,356,439,887 : 75,191,122,103 = 75,191,122,103 : x
  2. Step 2: Convert to fraction form
    49,356,439,887/75,191,122,103 = 75,191,122,103/x
  3. Step 3: Cross multiply
    49,356,439,887x = 75,191,122,103 × 75,191,122,103
  4. Step 4: Simplify right side
    49,356,439,887x = 5,653,704,843,108,255,006,720
  5. Step 5: Solve for x
    x = 5,653,704,843,108,255,006,720/49,356,439,887
  6. Step 6: Final answer
    x = 114,548,473,432.29

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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.