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Finding the Third Proportional to 336,543,566 and 516,972,123

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Solution

The third proportional to 336,543,566 and 516,972,123 is: 794,132,477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,543,566 : 516,972,123 = 516,972,123 : x
  2. Step 2: Convert to fraction form
    336,543,566/516,972,123 = 516,972,123/x
  3. Step 3: Cross multiply
    336,543,566x = 516,972,123 × 516,972,123
  4. Step 4: Simplify right side
    336,543,566x = 267,260,175,959,127,136
  5. Step 5: Solve for x
    x = 267,260,175,959,127,136/336,543,566
  6. Step 6: Final answer
    x = 794,132,477.81

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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.