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Finding the Third Proportional to 336,543,147 and 516,971,479.50

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Solution

The third proportional to 336,543,147 and 516,971,479.50 is: 794,131,489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,543,147 : 516,971,479.50 = 516,971,479.50 : x
  2. Step 2: Convert to fraction form
    336,543,147/516,971,479.50 = 516,971,479.50/x
  3. Step 3: Cross multiply
    336,543,147x = 516,971,479.50 × 516,971,479.50
  4. Step 4: Simplify right side
    336,543,147x = 267,259,510,616,418,912
  5. Step 5: Solve for x
    x = 267,259,510,616,418,912/336,543,147
  6. Step 6: Final answer
    x = 794,131,489.52

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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.