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Finding the Third Proportional to 34,446,104 and 73,837,816

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Solution

The third proportional to 34,446,104 and 73,837,816 is: 158,276,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,446,104 : 73,837,816 = 73,837,816 : x
  2. Step 2: Convert to fraction form
    34,446,104/73,837,816 = 73,837,816/x
  3. Step 3: Cross multiply
    34,446,104x = 73,837,816 × 73,837,816
  4. Step 4: Simplify right side
    34,446,104x = 5,452,023,071,649,856
  5. Step 5: Solve for x
    x = 5,452,023,071,649,856/34,446,104
  6. Step 6: Final answer
    x = 158,276,914.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.