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Finding the Third Proportional to 2,545,256 and 5,489,027.50

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Solution

The third proportional to 2,545,256 and 5,489,027.50 is: 11,837,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545,256 : 5,489,027.50 = 5,489,027.50 : x
  2. Step 2: Convert to fraction form
    2,545,256/5,489,027.50 = 5,489,027.50/x
  3. Step 3: Cross multiply
    2,545,256x = 5,489,027.50 × 5,489,027.50
  4. Step 4: Simplify right side
    2,545,256x = 30,129,422,895,756.25
  5. Step 5: Solve for x
    x = 30,129,422,895,756.25/2,545,256
  6. Step 6: Final answer
    x = 11,837,482.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.