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Finding the Third Proportional to 873,287,142.75 and 1,893,919,997.25

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Solution

The third proportional to 873,287,142.75 and 1,893,919,997.25 is: 4,107,392,380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,287,142.75 : 1,893,919,997.25 = 1,893,919,997.25 : x
  2. Step 2: Convert to fraction form
    873,287,142.75/1,893,919,997.25 = 1,893,919,997.25/x
  3. Step 3: Cross multiply
    873,287,142.75x = 1,893,919,997.25 × 1,893,919,997.25
  4. Step 4: Simplify right side
    873,287,142.75x = 3,586,932,955,983,439,872
  5. Step 5: Solve for x
    x = 3,586,932,955,983,439,872/873,287,142.75
  6. Step 6: Final answer
    x = 4,107,392,380.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.