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Finding the Third Proportional to 13,621,149 and 29,633,769

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Solution

The third proportional to 13,621,149 and 29,633,769 is: 64,470,351.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,621,149 : 29,633,769 = 29,633,769 : x
  2. Step 2: Convert to fraction form
    13,621,149/29,633,769 = 29,633,769/x
  3. Step 3: Cross multiply
    13,621,149x = 29,633,769 × 29,633,769
  4. Step 4: Simplify right side
    13,621,149x = 878,160,265,145,361
  5. Step 5: Solve for x
    x = 878,160,265,145,361/13,621,149
  6. Step 6: Final answer
    x = 64,470,351.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.