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Finding the Third Proportional to 339,551,164.50 and 727,507,749

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Solution

The third proportional to 339,551,164.50 and 727,507,749 is: 1,558,726,872.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,551,164.50 : 727,507,749 = 727,507,749 : x
  2. Step 2: Convert to fraction form
    339,551,164.50/727,507,749 = 727,507,749/x
  3. Step 3: Cross multiply
    339,551,164.50x = 727,507,749 × 727,507,749
  4. Step 4: Simplify right side
    339,551,164.50x = 529,267,524,855,046,976
  5. Step 5: Solve for x
    x = 529,267,524,855,046,976/339,551,164.50
  6. Step 6: Final answer
    x = 1,558,726,872.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.