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Finding the Third Proportional to 5,306,016 and 11,369,100

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Solution

The third proportional to 5,306,016 and 11,369,100 is: 24,360,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306,016 : 11,369,100 = 11,369,100 : x
  2. Step 2: Convert to fraction form
    5,306,016/11,369,100 = 11,369,100/x
  3. Step 3: Cross multiply
    5,306,016x = 11,369,100 × 11,369,100
  4. Step 4: Simplify right side
    5,306,016x = 129,256,434,810,000
  5. Step 5: Solve for x
    x = 129,256,434,810,000/5,306,016
  6. Step 6: Final answer
    x = 24,360,355.27

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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.