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Finding the Third Proportional to 364,356,394,057.12 and 801,582,792,521.62

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Solution

The third proportional to 364,356,394,057.12 and 801,582,792,521.62 is: 1,763,479,339,863.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,356,394,057.12 : 801,582,792,521.62 = 801,582,792,521.62 : x
  2. Step 2: Convert to fraction form
    364,356,394,057.12/801,582,792,521.62 = 801,582,792,521.62/x
  3. Step 3: Cross multiply
    364,356,394,057.12x = 801,582,792,521.62 × 801,582,792,521.62
  4. Step 4: Simplify right side
    364,356,394,057.12x = 642,534,973,266,758,434,029,568
  5. Step 5: Solve for x
    x = 642,534,973,266,758,434,029,568/364,356,394,057.12
  6. Step 6: Final answer
    x = 1,763,479,339,863.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.