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Finding the Third Proportional to 3,305,959,209 and 7,193,023,650

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Solution

The third proportional to 3,305,959,209 and 7,193,023,650 is: 15,650,401,580.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305,959,209 : 7,193,023,650 = 7,193,023,650 : x
  2. Step 2: Convert to fraction form
    3,305,959,209/7,193,023,650 = 7,193,023,650/x
  3. Step 3: Cross multiply
    3,305,959,209x = 7,193,023,650 × 7,193,023,650
  4. Step 4: Simplify right side
    3,305,959,209x = 51,739,589,229,459,324,928
  5. Step 5: Solve for x
    x = 51,739,589,229,459,324,928/3,305,959,209
  6. Step 6: Final answer
    x = 15,650,401,580.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.