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Finding the Third Proportional to 409,861,944.75 and 629,592,832.13

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Solution

The third proportional to 409,861,944.75 and 629,592,832.13 is: 967,123,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,861,944.75 : 629,592,832.13 = 629,592,832.13 : x
  2. Step 2: Convert to fraction form
    409,861,944.75/629,592,832.13 = 629,592,832.13/x
  3. Step 3: Cross multiply
    409,861,944.75x = 629,592,832.13 × 629,592,832.13
  4. Step 4: Simplify right side
    409,861,944.75x = 396,387,134,263,178,432
  5. Step 5: Solve for x
    x = 396,387,134,263,178,432/409,861,944.75
  6. Step 6: Final answer
    x = 967,123,538.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.