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Finding the Third Proportional to 3,589,599 and 7,683,767

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Solution

The third proportional to 3,589,599 and 7,683,767 is: 16,447,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589,599 : 7,683,767 = 7,683,767 : x
  2. Step 2: Convert to fraction form
    3,589,599/7,683,767 = 7,683,767/x
  3. Step 3: Cross multiply
    3,589,599x = 7,683,767 × 7,683,767
  4. Step 4: Simplify right side
    3,589,599x = 59,040,275,310,289
  5. Step 5: Solve for x
    x = 59,040,275,310,289/3,589,599
  6. Step 6: Final answer
    x = 16,447,596.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.