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Finding the Third Proportional to 6,173,082 and 13,568,220

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Solution

The third proportional to 6,173,082 and 13,568,220 is: 29,822,476.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173,082 : 13,568,220 = 13,568,220 : x
  2. Step 2: Convert to fraction form
    6,173,082/13,568,220 = 13,568,220/x
  3. Step 3: Cross multiply
    6,173,082x = 13,568,220 × 13,568,220
  4. Step 4: Simplify right side
    6,173,082x = 184,096,593,968,400
  5. Step 5: Solve for x
    x = 184,096,593,968,400/6,173,082
  6. Step 6: Final answer
    x = 29,822,476.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.