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Finding the Third Proportional to 9,277,600 and 18,816,064

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Solution

The third proportional to 9,277,600 and 18,816,064 is: 38,161,190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277,600 : 18,816,064 = 18,816,064 : x
  2. Step 2: Convert to fraction form
    9,277,600/18,816,064 = 18,816,064/x
  3. Step 3: Cross multiply
    9,277,600x = 18,816,064 × 18,816,064
  4. Step 4: Simplify right side
    9,277,600x = 354,044,264,452,096
  5. Step 5: Solve for x
    x = 354,044,264,452,096/9,277,600
  6. Step 6: Final answer
    x = 38,161,190.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.