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Finding the Third Proportional to 1,747,886,067 and 3,745,084,032

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Solution

The third proportional to 1,747,886,067 and 3,745,084,032 is: 8,024,352,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747,886,067 : 3,745,084,032 = 3,745,084,032 : x
  2. Step 2: Convert to fraction form
    1,747,886,067/3,745,084,032 = 3,745,084,032/x
  3. Step 3: Cross multiply
    1,747,886,067x = 3,745,084,032 × 3,745,084,032
  4. Step 4: Simplify right side
    1,747,886,067x = 14,025,654,406,741,377,024
  5. Step 5: Solve for x
    x = 14,025,654,406,741,377,024/1,747,886,067
  6. Step 6: Final answer
    x = 8,024,352,771.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.