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Finding the Third Proportional to 266,960,954 and 413,143,311

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Solution

The third proportional to 266,960,954 and 413,143,311 is: 639,372,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,960,954 : 413,143,311 = 413,143,311 : x
  2. Step 2: Convert to fraction form
    266,960,954/413,143,311 = 413,143,311/x
  3. Step 3: Cross multiply
    266,960,954x = 413,143,311 × 413,143,311
  4. Step 4: Simplify right side
    266,960,954x = 170,687,395,424,042,720
  5. Step 5: Solve for x
    x = 170,687,395,424,042,720/266,960,954
  6. Step 6: Final answer
    x = 639,372,136.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.