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Finding the Third Proportional to 12,342,096 and 18,501,336

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Solution

The third proportional to 12,342,096 and 18,501,336 is: 27,734,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342,096 : 18,501,336 = 18,501,336 : x
  2. Step 2: Convert to fraction form
    12,342,096/18,501,336 = 18,501,336/x
  3. Step 3: Cross multiply
    12,342,096x = 18,501,336 × 18,501,336
  4. Step 4: Simplify right side
    12,342,096x = 342,299,433,784,896
  5. Step 5: Solve for x
    x = 342,299,433,784,896/12,342,096
  6. Step 6: Final answer
    x = 27,734,303.30

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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.