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Finding the Third Proportional to 8,082,078.75 and 12,207,088.13

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Solution

The third proportional to 8,082,078.75 and 12,207,088.13 is: 18,437,459.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082,078.75 : 12,207,088.13 = 12,207,088.13 : x
  2. Step 2: Convert to fraction form
    8,082,078.75/12,207,088.13 = 12,207,088.13/x
  3. Step 3: Cross multiply
    8,082,078.75x = 12,207,088.13 × 12,207,088.13
  4. Step 4: Simplify right side
    8,082,078.75x = 149,013,000,491,516
  5. Step 5: Solve for x
    x = 149,013,000,491,516/8,082,078.75
  6. Step 6: Final answer
    x = 18,437,459.61

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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.