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Finding the Third Proportional to 11,527,126 and 18,082,018

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Solution

The third proportional to 11,527,126 and 18,082,018 is: 28,364,344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527,126 : 18,082,018 = 18,082,018 : x
  2. Step 2: Convert to fraction form
    11,527,126/18,082,018 = 18,082,018/x
  3. Step 3: Cross multiply
    11,527,126x = 18,082,018 × 18,082,018
  4. Step 4: Simplify right side
    11,527,126x = 326,959,374,952,324
  5. Step 5: Solve for x
    x = 326,959,374,952,324/11,527,126
  6. Step 6: Final answer
    x = 28,364,344.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.