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Finding the Third Proportional to 3,243,901,992 and 5,025,230,144

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Solution

The third proportional to 3,243,901,992 and 5,025,230,144 is: 7,784,741,358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243,901,992 : 5,025,230,144 = 5,025,230,144 : x
  2. Step 2: Convert to fraction form
    3,243,901,992/5,025,230,144 = 5,025,230,144/x
  3. Step 3: Cross multiply
    3,243,901,992x = 5,025,230,144 × 5,025,230,144
  4. Step 4: Simplify right side
    3,243,901,992x = 25,252,938,000,166,260,736
  5. Step 5: Solve for x
    x = 25,252,938,000,166,260,736/3,243,901,992
  6. Step 6: Final answer
    x = 7,784,741,358.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.