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Finding the Third Proportional to 2,605,475 and 5,741,023.75

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Solution

The third proportional to 2,605,475 and 5,741,023.75 is: 12,650,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605,475 : 5,741,023.75 = 5,741,023.75 : x
  2. Step 2: Convert to fraction form
    2,605,475/5,741,023.75 = 5,741,023.75/x
  3. Step 3: Cross multiply
    2,605,475x = 5,741,023.75 × 5,741,023.75
  4. Step 4: Simplify right side
    2,605,475x = 32,959,353,698,064.06
  5. Step 5: Solve for x
    x = 32,959,353,698,064.06/2,605,475
  6. Step 6: Final answer
    x = 12,650,036.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.