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Finding the Third Proportional to 2,117,515,866 and 3,203,507,889

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Solution

The third proportional to 2,117,515,866 and 3,203,507,889 is: 4,846,463,235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117,515,866 : 3,203,507,889 = 3,203,507,889 : x
  2. Step 2: Convert to fraction form
    2,117,515,866/3,203,507,889 = 3,203,507,889/x
  3. Step 3: Cross multiply
    2,117,515,866x = 3,203,507,889 × 3,203,507,889
  4. Step 4: Simplify right side
    2,117,515,866x = 10,262,462,794,885,236,736
  5. Step 5: Solve for x
    x = 10,262,462,794,885,236,736/2,117,515,866
  6. Step 6: Final answer
    x = 4,846,463,235.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.