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Finding the Third Proportional to 2,907,984,992 and 6,259,388,608

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Solution

The third proportional to 2,907,984,992 and 6,259,388,608 is: 13,473,228,319.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907,984,992 : 6,259,388,608 = 6,259,388,608 : x
  2. Step 2: Convert to fraction form
    2,907,984,992/6,259,388,608 = 6,259,388,608/x
  3. Step 3: Cross multiply
    2,907,984,992x = 6,259,388,608 × 6,259,388,608
  4. Step 4: Simplify right side
    2,907,984,992x = 39,179,945,745,960,173,568
  5. Step 5: Solve for x
    x = 39,179,945,745,960,173,568/2,907,984,992
  6. Step 6: Final answer
    x = 13,473,228,319.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.