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Finding the Third Proportional to 3,589,574 and 7,683,723

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Solution

The third proportional to 3,589,574 and 7,683,723 is: 16,447,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589,574 : 7,683,723 = 7,683,723 : x
  2. Step 2: Convert to fraction form
    3,589,574/7,683,723 = 7,683,723/x
  3. Step 3: Cross multiply
    3,589,574x = 7,683,723 × 7,683,723
  4. Step 4: Simplify right side
    3,589,574x = 59,039,599,140,729
  5. Step 5: Solve for x
    x = 59,039,599,140,729/3,589,574
  6. Step 6: Final answer
    x = 16,447,522.50

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