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Finding the Third Proportional to 13,212,009 and 29,022,174

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Solution

The third proportional to 13,212,009 and 29,022,174 is: 63,751,590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212,009 : 29,022,174 = 29,022,174 : x
  2. Step 2: Convert to fraction form
    13,212,009/29,022,174 = 29,022,174/x
  3. Step 3: Cross multiply
    13,212,009x = 29,022,174 × 29,022,174
  4. Step 4: Simplify right side
    13,212,009x = 842,286,583,686,276
  5. Step 5: Solve for x
    x = 842,286,583,686,276/13,212,009
  6. Step 6: Final answer
    x = 63,751,590.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.