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Finding the Third Proportional to 3,274,519.50 and 6,888,327.75

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Solution

The third proportional to 3,274,519.50 and 6,888,327.75 is: 14,490,388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274,519.50 : 6,888,327.75 = 6,888,327.75 : x
  2. Step 2: Convert to fraction form
    3,274,519.50/6,888,327.75 = 6,888,327.75/x
  3. Step 3: Cross multiply
    3,274,519.50x = 6,888,327.75 × 6,888,327.75
  4. Step 4: Simplify right side
    3,274,519.50x = 47,449,059,191,420.06
  5. Step 5: Solve for x
    x = 47,449,059,191,420.06/3,274,519.50
  6. Step 6: Final answer
    x = 14,490,388.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.