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Finding the Third Proportional to 409,861,944 and 629,592,831

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Solution

The third proportional to 409,861,944 and 629,592,831 is: 967,123,536.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,861,944 : 629,592,831 = 629,592,831 : x
  2. Step 2: Convert to fraction form
    409,861,944/629,592,831 = 629,592,831/x
  3. Step 3: Cross multiply
    409,861,944x = 629,592,831 × 629,592,831
  4. Step 4: Simplify right side
    409,861,944x = 396,387,132,846,594,560
  5. Step 5: Solve for x
    x = 396,387,132,846,594,560/409,861,944
  6. Step 6: Final answer
    x = 967,123,536.72

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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.