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Finding the Third Proportional to 7,583,568 and 16,230,019

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Solution

The third proportional to 7,583,568 and 16,230,019 is: 34,734,773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583,568 : 16,230,019 = 16,230,019 : x
  2. Step 2: Convert to fraction form
    7,583,568/16,230,019 = 16,230,019/x
  3. Step 3: Cross multiply
    7,583,568x = 16,230,019 × 16,230,019
  4. Step 4: Simplify right side
    7,583,568x = 263,413,516,740,361
  5. Step 5: Solve for x
    x = 263,413,516,740,361/7,583,568
  6. Step 6: Final answer
    x = 34,734,773.49

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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.