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Finding the Third Proportional to 894,789,978,849 and 1,962,815,905,665

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Solution

The third proportional to 894,789,978,849 and 1,962,815,905,665 is: 4,305,643,078,934.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,789,978,849 : 1,962,815,905,665 = 1,962,815,905,665 : x
  2. Step 2: Convert to fraction form
    894,789,978,849/1,962,815,905,665 = 1,962,815,905,665/x
  3. Step 3: Cross multiply
    894,789,978,849x = 1,962,815,905,665 × 1,962,815,905,665
  4. Step 4: Simplify right side
    894,789,978,849x = 3,852,646,279,531,514,380,156,928
  5. Step 5: Solve for x
    x = 3,852,646,279,531,514,380,156,928/894,789,978,849
  6. Step 6: Final answer
    x = 4,305,643,078,934.91

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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.