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Finding the Third Proportional to 10,786,475.44 and 23,173,834.69

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Solution

The third proportional to 10,786,475.44 and 23,173,834.69 is: 49,787,033.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786,475.44 : 23,173,834.69 = 23,173,834.69 : x
  2. Step 2: Convert to fraction form
    10,786,475.44/23,173,834.69 = 23,173,834.69/x
  3. Step 3: Cross multiply
    10,786,475.44x = 23,173,834.69 × 23,173,834.69
  4. Step 4: Simplify right side
    10,786,475.44x = 537,026,614,123,578.25
  5. Step 5: Solve for x
    x = 537,026,614,123,578.25/10,786,475.44
  6. Step 6: Final answer
    x = 49,787,033.52

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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.