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Finding the Third Proportional to 5,682,816 and 12,174,336

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Solution

The third proportional to 5,682,816 and 12,174,336 is: 26,081,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682,816 : 12,174,336 = 12,174,336 : x
  2. Step 2: Convert to fraction form
    5,682,816/12,174,336 = 12,174,336/x
  3. Step 3: Cross multiply
    5,682,816x = 12,174,336 × 12,174,336
  4. Step 4: Simplify right side
    5,682,816x = 148,214,457,040,896
  5. Step 5: Solve for x
    x = 148,214,457,040,896/5,682,816
  6. Step 6: Final answer
    x = 26,081,164.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.