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Finding the Third Proportional to 13,823,009 and 29,946,162

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Solution

The third proportional to 13,823,009 and 29,946,162 is: 64,875,355.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823,009 : 29,946,162 = 29,946,162 : x
  2. Step 2: Convert to fraction form
    13,823,009/29,946,162 = 29,946,162/x
  3. Step 3: Cross multiply
    13,823,009x = 29,946,162 × 29,946,162
  4. Step 4: Simplify right side
    13,823,009x = 896,772,618,530,244
  5. Step 5: Solve for x
    x = 896,772,618,530,244/13,823,009
  6. Step 6: Final answer
    x = 64,875,355.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.