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Finding the Third Proportional to 3,904,921,185.75 and 5,948,743,965.19

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Solution

The third proportional to 3,904,921,185.75 and 5,948,743,965.19 is: 9,062,296,799.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904,921,185.75 : 5,948,743,965.19 = 5,948,743,965.19 : x
  2. Step 2: Convert to fraction form
    3,904,921,185.75/5,948,743,965.19 = 5,948,743,965.19/x
  3. Step 3: Cross multiply
    3,904,921,185.75x = 5,948,743,965.19 × 5,948,743,965.19
  4. Step 4: Simplify right side
    3,904,921,185.75x = 35,387,554,763,354,701,824
  5. Step 5: Solve for x
    x = 35,387,554,763,354,701,824/3,904,921,185.75
  6. Step 6: Final answer
    x = 9,062,296,799.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.