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Finding the Third Proportional to 3,638,965.50 and 5,387,512.50

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Solution

The third proportional to 3,638,965.50 and 5,387,512.50 is: 7,976,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638,965.50 : 5,387,512.50 = 5,387,512.50 : x
  2. Step 2: Convert to fraction form
    3,638,965.50/5,387,512.50 = 5,387,512.50/x
  3. Step 3: Cross multiply
    3,638,965.50x = 5,387,512.50 × 5,387,512.50
  4. Step 4: Simplify right side
    3,638,965.50x = 29,025,290,937,656.25
  5. Step 5: Solve for x
    x = 29,025,290,937,656.25/3,638,965.50
  6. Step 6: Final answer
    x = 7,976,247.90

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.