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Finding the Third Proportional to 582,469,659 and 1,251,387,033.75

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Solution

The third proportional to 582,469,659 and 1,251,387,033.75 is: 2,688,499,708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,469,659 : 1,251,387,033.75 = 1,251,387,033.75 : x
  2. Step 2: Convert to fraction form
    582,469,659/1,251,387,033.75 = 1,251,387,033.75/x
  3. Step 3: Cross multiply
    582,469,659x = 1,251,387,033.75 × 1,251,387,033.75
  4. Step 4: Simplify right side
    582,469,659x = 1,565,969,508,237,623,552
  5. Step 5: Solve for x
    x = 1,565,969,508,237,623,552/582,469,659
  6. Step 6: Final answer
    x = 2,688,499,708.17

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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.