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Finding the Third Proportional to 13,055,481,254 and 19,597,040,167

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Solution

The third proportional to 13,055,481,254 and 19,597,040,167 is: 29,416,302,305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,055,481,254 : 19,597,040,167 = 19,597,040,167 : x
  2. Step 2: Convert to fraction form
    13,055,481,254/19,597,040,167 = 19,597,040,167/x
  3. Step 3: Cross multiply
    13,055,481,254x = 19,597,040,167 × 19,597,040,167
  4. Step 4: Simplify right side
    13,055,481,254x = 384,043,983,307,011,391,488
  5. Step 5: Solve for x
    x = 384,043,983,307,011,391,488/13,055,481,254
  6. Step 6: Final answer
    x = 29,416,302,305.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.