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Finding the Third Proportional to 4,795,296 and 10,274,577

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Solution

The third proportional to 4,795,296 and 10,274,577 is: 22,014,685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,795,296 : 10,274,577 = 10,274,577 : x
  2. Step 2: Convert to fraction form
    4,795,296/10,274,577 = 10,274,577/x
  3. Step 3: Cross multiply
    4,795,296x = 10,274,577 × 10,274,577
  4. Step 4: Simplify right side
    4,795,296x = 105,566,932,528,929
  5. Step 5: Solve for x
    x = 105,566,932,528,929/4,795,296
  6. Step 6: Final answer
    x = 22,014,685.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.