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Finding the Third Proportional to 5,198,632 and 11,592,594

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Solution

The third proportional to 5,198,632 and 11,592,594 is: 25,850,692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198,632 : 11,592,594 = 11,592,594 : x
  2. Step 2: Convert to fraction form
    5,198,632/11,592,594 = 11,592,594/x
  3. Step 3: Cross multiply
    5,198,632x = 11,592,594 × 11,592,594
  4. Step 4: Simplify right side
    5,198,632x = 134,388,235,648,836
  5. Step 5: Solve for x
    x = 134,388,235,648,836/5,198,632
  6. Step 6: Final answer
    x = 25,850,692.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.