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Finding the Third Proportional to 336,543,142 and 516,971,473

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Solution

The third proportional to 336,543,142 and 516,971,473 is: 794,131,481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,543,142 : 516,971,473 = 516,971,473 : x
  2. Step 2: Convert to fraction form
    336,543,142/516,971,473 = 516,971,473/x
  3. Step 3: Cross multiply
    336,543,142x = 516,971,473 × 516,971,473
  4. Step 4: Simplify right side
    336,543,142x = 267,259,503,895,789,728
  5. Step 5: Solve for x
    x = 267,259,503,895,789,728/336,543,142
  6. Step 6: Final answer
    x = 794,131,481.35

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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.