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Finding the Third Proportional to 5,348,169 and 11,527,938

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Solution

The third proportional to 5,348,169 and 11,527,938 is: 24,848,383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348,169 : 11,527,938 = 11,527,938 : x
  2. Step 2: Convert to fraction form
    5,348,169/11,527,938 = 11,527,938/x
  3. Step 3: Cross multiply
    5,348,169x = 11,527,938 × 11,527,938
  4. Step 4: Simplify right side
    5,348,169x = 132,893,354,531,844
  5. Step 5: Solve for x
    x = 132,893,354,531,844/5,348,169
  6. Step 6: Final answer
    x = 24,848,383.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.