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Finding the Third Proportional to 5,241,676 and 11,212,034

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Solution

The third proportional to 5,241,676 and 11,212,034 is: 23,982,731.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241,676 : 11,212,034 = 11,212,034 : x
  2. Step 2: Convert to fraction form
    5,241,676/11,212,034 = 11,212,034/x
  3. Step 3: Cross multiply
    5,241,676x = 11,212,034 × 11,212,034
  4. Step 4: Simplify right side
    5,241,676x = 125,709,706,417,156
  5. Step 5: Solve for x
    x = 125,709,706,417,156/5,241,676
  6. Step 6: Final answer
    x = 23,982,731.18

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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.