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Finding the Third Proportional to 5,078,471,112 and 11,004,424,992

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Solution

The third proportional to 5,078,471,112 and 11,004,424,992 is: 23,845,241,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078,471,112 : 11,004,424,992 = 11,004,424,992 : x
  2. Step 2: Convert to fraction form
    5,078,471,112/11,004,424,992 = 11,004,424,992/x
  3. Step 3: Cross multiply
    5,078,471,112x = 11,004,424,992 × 11,004,424,992
  4. Step 4: Simplify right side
    5,078,471,112x = 121,097,369,404,554,199,040
  5. Step 5: Solve for x
    x = 121,097,369,404,554,199,040/5,078,471,112
  6. Step 6: Final answer
    x = 23,845,241,359.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.