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Finding the Third Proportional to 34,257,678 and 50,440,275

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Solution

The third proportional to 34,257,678 and 50,440,275 is: 74,267,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,257,678 : 50,440,275 = 50,440,275 : x
  2. Step 2: Convert to fraction form
    34,257,678/50,440,275 = 50,440,275/x
  3. Step 3: Cross multiply
    34,257,678x = 50,440,275 × 50,440,275
  4. Step 4: Simplify right side
    34,257,678x = 2,544,221,342,075,625
  5. Step 5: Solve for x
    x = 2,544,221,342,075,625/34,257,678
  6. Step 6: Final answer
    x = 74,267,185.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.