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Finding the Third Proportional to 13,181,384,023 and 19,894,655,608

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Solution

The third proportional to 13,181,384,023 and 19,894,655,608 is: 30,026,992,694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181,384,023 : 19,894,655,608 = 19,894,655,608 : x
  2. Step 2: Convert to fraction form
    13,181,384,023/19,894,655,608 = 19,894,655,608/x
  3. Step 3: Cross multiply
    13,181,384,023x = 19,894,655,608 × 19,894,655,608
  4. Step 4: Simplify right side
    13,181,384,023x = 395,797,321,760,925,876,224
  5. Step 5: Solve for x
    x = 395,797,321,760,925,876,224/13,181,384,023
  6. Step 6: Final answer
    x = 30,026,992,694.42

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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.