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Finding the Third Proportional to 5,241,681 and 11,212,041

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Solution

The third proportional to 5,241,681 and 11,212,041 is: 23,982,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241,681 : 11,212,041 = 11,212,041 : x
  2. Step 2: Convert to fraction form
    5,241,681/11,212,041 = 11,212,041/x
  3. Step 3: Cross multiply
    5,241,681x = 11,212,041 × 11,212,041
  4. Step 4: Simplify right side
    5,241,681x = 125,709,863,385,681
  5. Step 5: Solve for x
    x = 125,709,863,385,681/5,241,681
  6. Step 6: Final answer
    x = 23,982,738.24

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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.