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Finding the Third Proportional to 7,734,978 and 16,392,029

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Solution

The third proportional to 7,734,978 and 16,392,029 is: 34,738,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734,978 : 16,392,029 = 16,392,029 : x
  2. Step 2: Convert to fraction form
    7,734,978/16,392,029 = 16,392,029/x
  3. Step 3: Cross multiply
    7,734,978x = 16,392,029 × 16,392,029
  4. Step 4: Simplify right side
    7,734,978x = 268,698,614,736,841
  5. Step 5: Solve for x
    x = 268,698,614,736,841/7,734,978
  6. Step 6: Final answer
    x = 34,738,122.69

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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.