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Finding the Third Proportional to 894,789,979,032 and 1,962,815,906,088

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Solution

The third proportional to 894,789,979,032 and 1,962,815,906,088 is: 4,305,643,079,910.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,789,979,032 : 1,962,815,906,088 = 1,962,815,906,088 : x
  2. Step 2: Convert to fraction form
    894,789,979,032/1,962,815,906,088 = 1,962,815,906,088/x
  3. Step 3: Cross multiply
    894,789,979,032x = 1,962,815,906,088 × 1,962,815,906,088
  4. Step 4: Simplify right side
    894,789,979,032x = 3,852,646,281,192,056,647,843,840
  5. Step 5: Solve for x
    x = 3,852,646,281,192,056,647,843,840/894,789,979,032
  6. Step 6: Final answer
    x = 4,305,643,079,910.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.