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Finding the Third Proportional to 1,795,732,351 and 4,195,641,042

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Solution

The third proportional to 1,795,732,351 and 4,195,641,042 is: 9,802,910,630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795,732,351 : 4,195,641,042 = 4,195,641,042 : x
  2. Step 2: Convert to fraction form
    1,795,732,351/4,195,641,042 = 4,195,641,042/x
  3. Step 3: Cross multiply
    1,795,732,351x = 4,195,641,042 × 4,195,641,042
  4. Step 4: Simplify right side
    1,795,732,351x = 17,603,403,753,314,846,720
  5. Step 5: Solve for x
    x = 17,603,403,753,314,846,720/1,795,732,351
  6. Step 6: Final answer
    x = 9,802,910,630.59

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.