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Finding the Third Proportional to 5,413,704 and 7,616,976

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Solution

The third proportional to 5,413,704 and 7,616,976 is: 10,716,936.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413,704 : 7,616,976 = 7,616,976 : x
  2. Step 2: Convert to fraction form
    5,413,704/7,616,976 = 7,616,976/x
  3. Step 3: Cross multiply
    5,413,704x = 7,616,976 × 7,616,976
  4. Step 4: Simplify right side
    5,413,704x = 58,018,323,384,576
  5. Step 5: Solve for x
    x = 58,018,323,384,576/5,413,704
  6. Step 6: Final answer
    x = 10,716,936.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.