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Finding the Third Proportional to 51,071,920 and 113,481,104

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Solution

The third proportional to 51,071,920 and 113,481,104 is: 252,153,452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,071,920 : 113,481,104 = 113,481,104 : x
  2. Step 2: Convert to fraction form
    51,071,920/113,481,104 = 113,481,104/x
  3. Step 3: Cross multiply
    51,071,920x = 113,481,104 × 113,481,104
  4. Step 4: Simplify right side
    51,071,920x = 12,877,960,965,058,816
  5. Step 5: Solve for x
    x = 12,877,960,965,058,816/51,071,920
  6. Step 6: Final answer
    x = 252,153,452.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.