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Finding the Third Proportional to 6,057,072 and 13,343,184

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Solution

The third proportional to 6,057,072 and 13,343,184 is: 29,393,832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057,072 : 13,343,184 = 13,343,184 : x
  2. Step 2: Convert to fraction form
    6,057,072/13,343,184 = 13,343,184/x
  3. Step 3: Cross multiply
    6,057,072x = 13,343,184 × 13,343,184
  4. Step 4: Simplify right side
    6,057,072x = 178,040,559,257,856
  5. Step 5: Solve for x
    x = 178,040,559,257,856/6,057,072
  6. Step 6: Final answer
    x = 29,393,832.41

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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.