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Finding the Third Proportional to 5,256,314 and 11,297,860

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Solution

The third proportional to 5,256,314 and 11,297,860 is: 24,283,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256,314 : 11,297,860 = 11,297,860 : x
  2. Step 2: Convert to fraction form
    5,256,314/11,297,860 = 11,297,860/x
  3. Step 3: Cross multiply
    5,256,314x = 11,297,860 × 11,297,860
  4. Step 4: Simplify right side
    5,256,314x = 127,641,640,579,600
  5. Step 5: Solve for x
    x = 127,641,640,579,600/5,256,314
  6. Step 6: Final answer
    x = 24,283,488.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.