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Finding the Third Proportional to 413,741,183.50 and 900,123,248

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Solution

The third proportional to 413,741,183.50 and 900,123,248 is: 1,958,281,877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,741,183.50 : 900,123,248 = 900,123,248 : x
  2. Step 2: Convert to fraction form
    413,741,183.50/900,123,248 = 900,123,248/x
  3. Step 3: Cross multiply
    413,741,183.50x = 900,123,248 × 900,123,248
  4. Step 4: Simplify right side
    413,741,183.50x = 810,221,861,590,069,504
  5. Step 5: Solve for x
    x = 810,221,861,590,069,504/413,741,183.50
  6. Step 6: Final answer
    x = 1,958,281,877.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.