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Finding the Third Proportional to 5,153,072 and 11,194,064

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Solution

The third proportional to 5,153,072 and 11,194,064 is: 24,316,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153,072 : 11,194,064 = 11,194,064 : x
  2. Step 2: Convert to fraction form
    5,153,072/11,194,064 = 11,194,064/x
  3. Step 3: Cross multiply
    5,153,072x = 11,194,064 × 11,194,064
  4. Step 4: Simplify right side
    5,153,072x = 125,307,068,836,096
  5. Step 5: Solve for x
    x = 125,307,068,836,096/5,153,072
  6. Step 6: Final answer
    x = 24,316,964.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.