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Finding the Third Proportional to 16,974,316 and 34,733,031

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Solution

The third proportional to 16,974,316 and 34,733,031 is: 71,071,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,974,316 : 34,733,031 = 34,733,031 : x
  2. Step 2: Convert to fraction form
    16,974,316/34,733,031 = 34,733,031/x
  3. Step 3: Cross multiply
    16,974,316x = 34,733,031 × 34,733,031
  4. Step 4: Simplify right side
    16,974,316x = 1,206,383,442,446,961
  5. Step 5: Solve for x
    x = 1,206,383,442,446,961/16,974,316
  6. Step 6: Final answer
    x = 71,071,107.81

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Why These Related Problems?

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