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Finding the Third Proportional to 5,770,191 and 12,497,910

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Solution

The third proportional to 5,770,191 and 12,497,910 is: 27,069,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770,191 : 12,497,910 = 12,497,910 : x
  2. Step 2: Convert to fraction form
    5,770,191/12,497,910 = 12,497,910/x
  3. Step 3: Cross multiply
    5,770,191x = 12,497,910 × 12,497,910
  4. Step 4: Simplify right side
    5,770,191x = 156,197,754,368,100
  5. Step 5: Solve for x
    x = 156,197,754,368,100/5,770,191
  6. Step 6: Final answer
    x = 27,069,771.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.