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Finding the Third Proportional to 13,022,856 and 19,144,512

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Solution

The third proportional to 13,022,856 and 19,144,512 is: 28,143,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022,856 : 19,144,512 = 19,144,512 : x
  2. Step 2: Convert to fraction form
    13,022,856/19,144,512 = 19,144,512/x
  3. Step 3: Cross multiply
    13,022,856x = 19,144,512 × 19,144,512
  4. Step 4: Simplify right side
    13,022,856x = 366,512,339,718,144
  5. Step 5: Solve for x
    x = 366,512,339,718,144/13,022,856
  6. Step 6: Final answer
    x = 28,143,775.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.