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Finding the Third Proportional to 5,242,048 and 11,212,744

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Solution

The third proportional to 5,242,048 and 11,212,744 is: 23,984,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242,048 : 11,212,744 = 11,212,744 : x
  2. Step 2: Convert to fraction form
    5,242,048/11,212,744 = 11,212,744/x
  3. Step 3: Cross multiply
    5,242,048x = 11,212,744 × 11,212,744
  4. Step 4: Simplify right side
    5,242,048x = 125,725,628,009,536
  5. Step 5: Solve for x
    x = 125,725,628,009,536/5,242,048
  6. Step 6: Final answer
    x = 23,984,066.53

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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.