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Finding the Third Proportional to 819,420,436.25 and 1,802,283,891.25

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Solution

The third proportional to 819,420,436.25 and 1,802,283,891.25 is: 3,964,054,447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,420,436.25 : 1,802,283,891.25 = 1,802,283,891.25 : x
  2. Step 2: Convert to fraction form
    819,420,436.25/1,802,283,891.25 = 1,802,283,891.25/x
  3. Step 3: Cross multiply
    819,420,436.25x = 1,802,283,891.25 × 1,802,283,891.25
  4. Step 4: Simplify right side
    819,420,436.25x = 3,248,227,224,659,241,984
  5. Step 5: Solve for x
    x = 3,248,227,224,659,241,984/819,420,436.25
  6. Step 6: Final answer
    x = 3,964,054,447.46

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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.