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Finding the Third Proportional to 12,997,275.75 and 18,170,064

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Solution

The third proportional to 12,997,275.75 and 18,170,064 is: 25,401,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997,275.75 : 18,170,064 = 18,170,064 : x
  2. Step 2: Convert to fraction form
    12,997,275.75/18,170,064 = 18,170,064/x
  3. Step 3: Cross multiply
    12,997,275.75x = 18,170,064 × 18,170,064
  4. Step 4: Simplify right side
    12,997,275.75x = 330,151,225,764,096
  5. Step 5: Solve for x
    x = 330,151,225,764,096/12,997,275.75
  6. Step 6: Final answer
    x = 25,401,571.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.