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Finding the Third Proportional to 4,965,138.84 and 10,691,109.63

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Solution

The third proportional to 4,965,138.84 and 10,691,109.63 is: 23,020,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965,138.84 : 10,691,109.63 = 10,691,109.63 : x
  2. Step 2: Convert to fraction form
    4,965,138.84/10,691,109.63 = 10,691,109.63/x
  3. Step 3: Cross multiply
    4,965,138.84x = 10,691,109.63 × 10,691,109.63
  4. Step 4: Simplify right side
    4,965,138.84x = 114,299,825,180,805.56
  5. Step 5: Solve for x
    x = 114,299,825,180,805.56/4,965,138.84
  6. Step 6: Final answer
    x = 23,020,469.07

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