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Finding the Third Proportional to 3,274,423.50 and 6,888,165.75

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Solution

The third proportional to 3,274,423.50 and 6,888,165.75 is: 14,490,131.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274,423.50 : 6,888,165.75 = 6,888,165.75 : x
  2. Step 2: Convert to fraction form
    3,274,423.50/6,888,165.75 = 6,888,165.75/x
  3. Step 3: Cross multiply
    3,274,423.50x = 6,888,165.75 × 6,888,165.75
  4. Step 4: Simplify right side
    3,274,423.50x = 47,446,827,399,473.06
  5. Step 5: Solve for x
    x = 47,446,827,399,473.06/3,274,423.50
  6. Step 6: Final answer
    x = 14,490,131.59

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