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Finding the Third Proportional to 419,520,123 and 635,103,436.50

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Solution

The third proportional to 419,520,123 and 635,103,436.50 is: 961,470,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,520,123 : 635,103,436.50 = 635,103,436.50 : x
  2. Step 2: Convert to fraction form
    419,520,123/635,103,436.50 = 635,103,436.50/x
  3. Step 3: Cross multiply
    419,520,123x = 635,103,436.50 × 635,103,436.50
  4. Step 4: Simplify right side
    419,520,123x = 403,356,375,054,109,504
  5. Step 5: Solve for x
    x = 403,356,375,054,109,504/419,520,123
  6. Step 6: Final answer
    x = 961,470,863.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.