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Finding the Third Proportional to 3,880,719 and 8,163,589.50

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Solution

The third proportional to 3,880,719 and 8,163,589.50 is: 17,173,156.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880,719 : 8,163,589.50 = 8,163,589.50 : x
  2. Step 2: Convert to fraction form
    3,880,719/8,163,589.50 = 8,163,589.50/x
  3. Step 3: Cross multiply
    3,880,719x = 8,163,589.50 × 8,163,589.50
  4. Step 4: Simplify right side
    3,880,719x = 66,644,193,524,510.25
  5. Step 5: Solve for x
    x = 66,644,193,524,510.25/3,880,719
  6. Step 6: Final answer
    x = 17,173,156.19

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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.