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Finding the Third Proportional to 16,974,313 and 34,733,025

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Solution

The third proportional to 16,974,313 and 34,733,025 is: 71,071,095.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,974,313 : 34,733,025 = 34,733,025 : x
  2. Step 2: Convert to fraction form
    16,974,313/34,733,025 = 34,733,025/x
  3. Step 3: Cross multiply
    16,974,313x = 34,733,025 × 34,733,025
  4. Step 4: Simplify right side
    16,974,313x = 1,206,383,025,650,625
  5. Step 5: Solve for x
    x = 1,206,383,025,650,625/16,974,313
  6. Step 6: Final answer
    x = 71,071,095.82

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.