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Finding the Third Proportional to 5,632,398 and 11,563,383.38

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Solution

The third proportional to 5,632,398 and 11,563,383.38 is: 23,739,770.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632,398 : 11,563,383.38 = 11,563,383.38 : x
  2. Step 2: Convert to fraction form
    5,632,398/11,563,383.38 = 11,563,383.38/x
  3. Step 3: Cross multiply
    5,632,398x = 11,563,383.38 × 11,563,383.38
  4. Step 4: Simplify right side
    5,632,398x = 133,711,835,077,226.39
  5. Step 5: Solve for x
    x = 133,711,835,077,226.39/5,632,398
  6. Step 6: Final answer
    x = 23,739,770.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.