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Finding the Third Proportional to 12,441,159 and 18,661,739.63

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Solution

The third proportional to 12,441,159 and 18,661,739.63 is: 27,992,611.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,441,159 : 18,661,739.63 = 18,661,739.63 : x
  2. Step 2: Convert to fraction form
    12,441,159/18,661,739.63 = 18,661,739.63/x
  3. Step 3: Cross multiply
    12,441,159x = 18,661,739.63 × 18,661,739.63
  4. Step 4: Simplify right side
    12,441,159x = 348,260,525,831,295.12
  5. Step 5: Solve for x
    x = 348,260,525,831,295.12/12,441,159
  6. Step 6: Final answer
    x = 27,992,611.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.