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Finding the Third Proportional to 582,628,659.75 and 1,248,361,287.75

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Solution

The third proportional to 582,628,659.75 and 1,248,361,287.75 is: 2,674,784,150.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,628,659.75 : 1,248,361,287.75 = 1,248,361,287.75 : x
  2. Step 2: Convert to fraction form
    582,628,659.75/1,248,361,287.75 = 1,248,361,287.75/x
  3. Step 3: Cross multiply
    582,628,659.75x = 1,248,361,287.75 × 1,248,361,287.75
  4. Step 4: Simplify right side
    582,628,659.75x = 1,558,405,904,752,838,400
  5. Step 5: Solve for x
    x = 1,558,405,904,752,838,400/582,628,659.75
  6. Step 6: Final answer
    x = 2,674,784,150.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.