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Finding the Third Proportional to 5,044,096 and 11,068,160

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Solution

The third proportional to 5,044,096 and 11,068,160 is: 24,286,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044,096 : 11,068,160 = 11,068,160 : x
  2. Step 2: Convert to fraction form
    5,044,096/11,068,160 = 11,068,160/x
  3. Step 3: Cross multiply
    5,044,096x = 11,068,160 × 11,068,160
  4. Step 4: Simplify right side
    5,044,096x = 122,504,165,785,600
  5. Step 5: Solve for x
    x = 122,504,165,785,600/5,044,096
  6. Step 6: Final answer
    x = 24,286,644.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.