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Finding the Third Proportional to 2,555,838 and 5,452,663.50

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Solution

The third proportional to 2,555,838 and 5,452,663.50 is: 11,632,794.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555,838 : 5,452,663.50 = 5,452,663.50 : x
  2. Step 2: Convert to fraction form
    2,555,838/5,452,663.50 = 5,452,663.50/x
  3. Step 3: Cross multiply
    2,555,838x = 5,452,663.50 × 5,452,663.50
  4. Step 4: Simplify right side
    2,555,838x = 29,731,539,244,232.25
  5. Step 5: Solve for x
    x = 29,731,539,244,232.25/2,555,838
  6. Step 6: Final answer
    x = 11,632,794.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.