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Finding the Third Proportional to 49,356,439,891 and 75,191,122,109

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Solution

The third proportional to 49,356,439,891 and 75,191,122,109 is: 114,548,473,441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,356,439,891 : 75,191,122,109 = 75,191,122,109 : x
  2. Step 2: Convert to fraction form
    49,356,439,891/75,191,122,109 = 75,191,122,109/x
  3. Step 3: Cross multiply
    49,356,439,891x = 75,191,122,109 × 75,191,122,109
  4. Step 4: Simplify right side
    49,356,439,891x = 5,653,704,844,010,548,363,264
  5. Step 5: Solve for x
    x = 5,653,704,844,010,548,363,264/49,356,439,891
  6. Step 6: Final answer
    x = 114,548,473,441.28

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Why These Related Problems?

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