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Finding the Third Proportional to 34,375,686 and 49,713,234

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Solution

The third proportional to 34,375,686 and 49,713,234 is: 71,894,001.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,375,686 : 49,713,234 = 49,713,234 : x
  2. Step 2: Convert to fraction form
    34,375,686/49,713,234 = 49,713,234/x
  3. Step 3: Cross multiply
    34,375,686x = 49,713,234 × 49,713,234
  4. Step 4: Simplify right side
    34,375,686x = 2,471,405,634,738,756
  5. Step 5: Solve for x
    x = 2,471,405,634,738,756/34,375,686
  6. Step 6: Final answer
    x = 71,894,001.90

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.