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Finding the Third Proportional to 9,041,916 and 13,583,104

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Solution

The third proportional to 9,041,916 and 13,583,104 is: 20,405,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041,916 : 13,583,104 = 13,583,104 : x
  2. Step 2: Convert to fraction form
    9,041,916/13,583,104 = 13,583,104/x
  3. Step 3: Cross multiply
    9,041,916x = 13,583,104 × 13,583,104
  4. Step 4: Simplify right side
    9,041,916x = 184,500,714,274,816
  5. Step 5: Solve for x
    x = 184,500,714,274,816/9,041,916
  6. Step 6: Final answer
    x = 20,405,046.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.