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Finding the Third Proportional to 9,116,676 and 19,453,704

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Solution

The third proportional to 9,116,676 and 19,453,704 is: 41,511,467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116,676 : 19,453,704 = 19,453,704 : x
  2. Step 2: Convert to fraction form
    9,116,676/19,453,704 = 19,453,704/x
  3. Step 3: Cross multiply
    9,116,676x = 19,453,704 × 19,453,704
  4. Step 4: Simplify right side
    9,116,676x = 378,446,599,319,616
  5. Step 5: Solve for x
    x = 378,446,599,319,616/9,116,676
  6. Step 6: Final answer
    x = 41,511,467.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.