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Finding the Third Proportional to 11,171,644 and 17,082,114

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Solution

The third proportional to 11,171,644 and 17,082,114 is: 26,119,577.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171,644 : 17,082,114 = 17,082,114 : x
  2. Step 2: Convert to fraction form
    11,171,644/17,082,114 = 17,082,114/x
  3. Step 3: Cross multiply
    11,171,644x = 17,082,114 × 17,082,114
  4. Step 4: Simplify right side
    11,171,644x = 291,798,618,708,996
  5. Step 5: Solve for x
    x = 291,798,618,708,996/11,171,644
  6. Step 6: Final answer
    x = 26,119,577.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.