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Finding the Third Proportional to 9,494,096 and 20,403,728

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Solution

The third proportional to 9,494,096 and 20,403,728 is: 43,849,579.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494,096 : 20,403,728 = 20,403,728 : x
  2. Step 2: Convert to fraction form
    9,494,096/20,403,728 = 20,403,728/x
  3. Step 3: Cross multiply
    9,494,096x = 20,403,728 × 20,403,728
  4. Step 4: Simplify right side
    9,494,096x = 416,312,116,297,984
  5. Step 5: Solve for x
    x = 416,312,116,297,984/9,494,096
  6. Step 6: Final answer
    x = 43,849,579.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.