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Finding the Third Proportional to 339,150,393.66 and 734,643,911.34

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Solution

The third proportional to 339,150,393.66 and 734,643,911.34 is: 1,591,334,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,150,393.66 : 734,643,911.34 = 734,643,911.34 : x
  2. Step 2: Convert to fraction form
    339,150,393.66/734,643,911.34 = 734,643,911.34/x
  3. Step 3: Cross multiply
    339,150,393.66x = 734,643,911.34 × 734,643,911.34
  4. Step 4: Simplify right side
    339,150,393.66x = 539,701,676,474,443,584
  5. Step 5: Solve for x
    x = 539,701,676,474,443,584/339,150,393.66
  6. Step 6: Final answer
    x = 1,591,334,365.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.