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Finding the Third Proportional to 3,904,921,191 and 5,948,743,973

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Solution

The third proportional to 3,904,921,191 and 5,948,743,973 is: 9,062,296,810.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904,921,191 : 5,948,743,973 = 5,948,743,973 : x
  2. Step 2: Convert to fraction form
    3,904,921,191/5,948,743,973 = 5,948,743,973/x
  3. Step 3: Cross multiply
    3,904,921,191x = 5,948,743,973 × 5,948,743,973
  4. Step 4: Simplify right side
    3,904,921,191x = 35,387,554,856,303,824,896
  5. Step 5: Solve for x
    x = 35,387,554,856,303,824,896/3,904,921,191
  6. Step 6: Final answer
    x = 9,062,296,810.97

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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.