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Finding the Third Proportional to 69,371,819,309.25 and 110,384,201,910.38

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Solution

The third proportional to 69,371,819,309.25 and 110,384,201,910.38 is: 175,642,965,006.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,371,819,309.25 : 110,384,201,910.38 = 110,384,201,910.38 : x
  2. Step 2: Convert to fraction form
    69,371,819,309.25/110,384,201,910.38 = 110,384,201,910.38/x
  3. Step 3: Cross multiply
    69,371,819,309.25x = 110,384,201,910.38 × 110,384,201,910.38
  4. Step 4: Simplify right side
    69,371,819,309.25x = 12,184,672,031,391,541,624,832
  5. Step 5: Solve for x
    x = 12,184,672,031,391,541,624,832/69,371,819,309.25
  6. Step 6: Final answer
    x = 175,642,965,006.78

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.