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Finding the Third Proportional to 819,138,837.66 and 1,805,244,258.66

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Solution

The third proportional to 819,138,837.66 and 1,805,244,258.66 is: 3,978,454,791.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,138,837.66 : 1,805,244,258.66 = 1,805,244,258.66 : x
  2. Step 2: Convert to fraction form
    819,138,837.66/1,805,244,258.66 = 1,805,244,258.66/x
  3. Step 3: Cross multiply
    819,138,837.66x = 1,805,244,258.66 × 1,805,244,258.66
  4. Step 4: Simplify right side
    819,138,837.66x = 3,258,906,833,411,172,864
  5. Step 5: Solve for x
    x = 3,258,906,833,411,172,864/819,138,837.66
  6. Step 6: Final answer
    x = 3,978,454,791.30

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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.