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Finding the Third Proportional to 3,234,745,006.50 and 4,622,534,751

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Solution

The third proportional to 3,234,745,006.50 and 4,622,534,751 is: 6,605,722,392.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234,745,006.50 : 4,622,534,751 = 4,622,534,751 : x
  2. Step 2: Convert to fraction form
    3,234,745,006.50/4,622,534,751 = 4,622,534,751/x
  3. Step 3: Cross multiply
    3,234,745,006.50x = 4,622,534,751 × 4,622,534,751
  4. Step 4: Simplify right side
    3,234,745,006.50x = 21,367,827,524,202,631,168
  5. Step 5: Solve for x
    x = 21,367,827,524,202,631,168/3,234,745,006.50
  6. Step 6: Final answer
    x = 6,605,722,392.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.