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Finding the Third Proportional to 5,579,589 and 11,828,742

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Solution

The third proportional to 5,579,589 and 11,828,742 is: 25,076,961.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,579,589 : 11,828,742 = 11,828,742 : x
  2. Step 2: Convert to fraction form
    5,579,589/11,828,742 = 11,828,742/x
  3. Step 3: Cross multiply
    5,579,589x = 11,828,742 × 11,828,742
  4. Step 4: Simplify right side
    5,579,589x = 139,919,137,302,564
  5. Step 5: Solve for x
    x = 139,919,137,302,564/5,579,589
  6. Step 6: Final answer
    x = 25,076,961.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.