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Finding the Third Proportional to 27,023,354,913 and 58,113,631,815

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Solution

The third proportional to 27,023,354,913 and 58,113,631,815 is: 124,973,165,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,023,354,913 : 58,113,631,815 = 58,113,631,815 : x
  2. Step 2: Convert to fraction form
    27,023,354,913/58,113,631,815 = 58,113,631,815/x
  3. Step 3: Cross multiply
    27,023,354,913x = 58,113,631,815 × 58,113,631,815
  4. Step 4: Simplify right side
    27,023,354,913x = 3,377,194,202,729,380,052,992
  5. Step 5: Solve for x
    x = 3,377,194,202,729,380,052,992/27,023,354,913
  6. Step 6: Final answer
    x = 124,973,165,382.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.