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Finding the Third Proportional to 2,311,064 and 5,153,204

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Solution

The third proportional to 2,311,064 and 5,153,204 is: 11,490,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311,064 : 5,153,204 = 5,153,204 : x
  2. Step 2: Convert to fraction form
    2,311,064/5,153,204 = 5,153,204/x
  3. Step 3: Cross multiply
    2,311,064x = 5,153,204 × 5,153,204
  4. Step 4: Simplify right side
    2,311,064x = 26,555,511,465,616
  5. Step 5: Solve for x
    x = 26,555,511,465,616/2,311,064
  6. Step 6: Final answer
    x = 11,490,599.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.