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Finding the Third Proportional to 5,958,723 and 12,632,442

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Solution

The third proportional to 5,958,723 and 12,632,442 is: 26,780,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958,723 : 12,632,442 = 12,632,442 : x
  2. Step 2: Convert to fraction form
    5,958,723/12,632,442 = 12,632,442/x
  3. Step 3: Cross multiply
    5,958,723x = 12,632,442 × 12,632,442
  4. Step 4: Simplify right side
    5,958,723x = 159,578,590,883,364
  5. Step 5: Solve for x
    x = 159,578,590,883,364/5,958,723
  6. Step 6: Final answer
    x = 26,780,669.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.