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Finding the Third Proportional to 13,833,984 and 22,100,112

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Solution

The third proportional to 13,833,984 and 22,100,112 is: 35,305,444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833,984 : 22,100,112 = 22,100,112 : x
  2. Step 2: Convert to fraction form
    13,833,984/22,100,112 = 22,100,112/x
  3. Step 3: Cross multiply
    13,833,984x = 22,100,112 × 22,100,112
  4. Step 4: Simplify right side
    13,833,984x = 488,414,950,412,544
  5. Step 5: Solve for x
    x = 488,414,950,412,544/13,833,984
  6. Step 6: Final answer
    x = 35,305,444.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.