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Finding the Third Proportional to 339,149,712.23 and 734,642,608.08

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Solution

The third proportional to 339,149,712.23 and 734,642,608.08 is: 1,591,331,916.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,149,712.23 : 734,642,608.08 = 734,642,608.08 : x
  2. Step 2: Convert to fraction form
    339,149,712.23/734,642,608.08 = 734,642,608.08/x
  3. Step 3: Cross multiply
    339,149,712.23x = 734,642,608.08 × 734,642,608.08
  4. Step 4: Simplify right side
    339,149,712.23x = 539,699,761,603,792,768
  5. Step 5: Solve for x
    x = 539,699,761,603,792,768/339,149,712.23
  6. Step 6: Final answer
    x = 1,591,331,916.66

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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.