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Finding the Third Proportional to 5,071,120 and 11,137,568

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Solution

The third proportional to 5,071,120 and 11,137,568 is: 24,461,148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071,120 : 11,137,568 = 11,137,568 : x
  2. Step 2: Convert to fraction form
    5,071,120/11,137,568 = 11,137,568/x
  3. Step 3: Cross multiply
    5,071,120x = 11,137,568 × 11,137,568
  4. Step 4: Simplify right side
    5,071,120x = 124,045,420,954,624
  5. Step 5: Solve for x
    x = 124,045,420,954,624/5,071,120
  6. Step 6: Final answer
    x = 24,461,148.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.