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Finding the Third Proportional to 336,543,138 and 516,971,466

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Solution

The third proportional to 336,543,138 and 516,971,466 is: 794,131,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,543,138 : 516,971,466 = 516,971,466 : x
  2. Step 2: Convert to fraction form
    336,543,138/516,971,466 = 516,971,466/x
  3. Step 3: Cross multiply
    336,543,138x = 516,971,466 × 516,971,466
  4. Step 4: Simplify right side
    336,543,138x = 267,259,496,658,189,152
  5. Step 5: Solve for x
    x = 267,259,496,658,189,152/336,543,138
  6. Step 6: Final answer
    x = 794,131,469.29

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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.