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Finding the Third Proportional to 2,373,942.94 and 5,600,314.69

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Solution

The third proportional to 2,373,942.94 and 5,600,314.69 is: 13,211,574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373,942.94 : 5,600,314.69 = 5,600,314.69 : x
  2. Step 2: Convert to fraction form
    2,373,942.94/5,600,314.69 = 5,600,314.69/x
  3. Step 3: Cross multiply
    2,373,942.94x = 5,600,314.69 × 5,600,314.69
  4. Step 4: Simplify right side
    2,373,942.94x = 31,363,524,599,028.22
  5. Step 5: Solve for x
    x = 31,363,524,599,028.22/2,373,942.94
  6. Step 6: Final answer
    x = 13,211,574.76

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.