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Finding the Third Proportional to 5,910,975 and 12,733,803

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Solution

The third proportional to 5,910,975 and 12,733,803 is: 27,431,978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,910,975 : 12,733,803 = 12,733,803 : x
  2. Step 2: Convert to fraction form
    5,910,975/12,733,803 = 12,733,803/x
  3. Step 3: Cross multiply
    5,910,975x = 12,733,803 × 12,733,803
  4. Step 4: Simplify right side
    5,910,975x = 162,149,738,842,809
  5. Step 5: Solve for x
    x = 162,149,738,842,809/5,910,975
  6. Step 6: Final answer
    x = 27,431,978.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.