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Finding the Third Proportional to 25,584,261.75 and 41,772,375

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Solution

The third proportional to 25,584,261.75 and 41,772,375 is: 68,203,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,584,261.75 : 41,772,375 = 41,772,375 : x
  2. Step 2: Convert to fraction form
    25,584,261.75/41,772,375 = 41,772,375/x
  3. Step 3: Cross multiply
    25,584,261.75x = 41,772,375 × 41,772,375
  4. Step 4: Simplify right side
    25,584,261.75x = 1,744,931,313,140,625
  5. Step 5: Solve for x
    x = 1,744,931,313,140,625/25,584,261.75
  6. Step 6: Final answer
    x = 68,203,309.14

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.