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Finding the Third Proportional to 8,082,078 and 12,207,088

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Solution

The third proportional to 8,082,078 and 12,207,088 is: 18,437,460.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082,078 : 12,207,088 = 12,207,088 : x
  2. Step 2: Convert to fraction form
    8,082,078/12,207,088 = 12,207,088/x
  3. Step 3: Cross multiply
    8,082,078x = 12,207,088 × 12,207,088
  4. Step 4: Simplify right side
    8,082,078x = 149,012,997,439,744
  5. Step 5: Solve for x
    x = 149,012,997,439,744/8,082,078
  6. Step 6: Final answer
    x = 18,437,460.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.