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Finding the Third Proportional to 12,107,997 and 18,635,905.50

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Solution

The third proportional to 12,107,997 and 18,635,905.50 is: 28,683,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107,997 : 18,635,905.50 = 18,635,905.50 : x
  2. Step 2: Convert to fraction form
    12,107,997/18,635,905.50 = 18,635,905.50/x
  3. Step 3: Cross multiply
    12,107,997x = 18,635,905.50 × 18,635,905.50
  4. Step 4: Simplify right side
    12,107,997x = 347,296,973,804,930.25
  5. Step 5: Solve for x
    x = 347,296,973,804,930.25/12,107,997
  6. Step 6: Final answer
    x = 28,683,272.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.