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Finding the Third Proportional to 901,625,944.50 and 1,379,253,845.25

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Solution

The third proportional to 901,625,944.50 and 1,379,253,845.25 is: 2,109,900,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,625,944.50 : 1,379,253,845.25 = 1,379,253,845.25 : x
  2. Step 2: Convert to fraction form
    901,625,944.50/1,379,253,845.25 = 1,379,253,845.25/x
  3. Step 3: Cross multiply
    901,625,944.50x = 1,379,253,845.25 × 1,379,253,845.25
  4. Step 4: Simplify right side
    901,625,944.50x = 1,902,341,169,636,910,848
  5. Step 5: Solve for x
    x = 1,902,341,169,636,910,848/901,625,944.50
  6. Step 6: Final answer
    x = 2,109,900,653.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.