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Finding the Third Proportional to 3,469,751,912 and 5,285,982,332

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Solution

The third proportional to 3,469,751,912 and 5,285,982,332 is: 8,052,912,693.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469,751,912 : 5,285,982,332 = 5,285,982,332 : x
  2. Step 2: Convert to fraction form
    3,469,751,912/5,285,982,332 = 5,285,982,332/x
  3. Step 3: Cross multiply
    3,469,751,912x = 5,285,982,332 × 5,285,982,332
  4. Step 4: Simplify right side
    3,469,751,912x = 27,941,609,214,216,159,232
  5. Step 5: Solve for x
    x = 27,941,609,214,216,159,232/3,469,751,912
  6. Step 6: Final answer
    x = 8,052,912,693.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.