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Finding the Third Proportional to 336,543,144 and 516,971,472

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Solution

The third proportional to 336,543,144 and 516,971,472 is: 794,131,473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,543,144 : 516,971,472 = 516,971,472 : x
  2. Step 2: Convert to fraction form
    336,543,144/516,971,472 = 516,971,472/x
  3. Step 3: Cross multiply
    336,543,144x = 516,971,472 × 516,971,472
  4. Step 4: Simplify right side
    336,543,144x = 267,259,502,861,846,784
  5. Step 5: Solve for x
    x = 267,259,502,861,846,784/336,543,144
  6. Step 6: Final answer
    x = 794,131,473.56

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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.