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Finding the Third Proportional to 2,900,538 and 6,381,036

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Solution

The third proportional to 2,900,538 and 6,381,036 is: 14,037,954.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900,538 : 6,381,036 = 6,381,036 : x
  2. Step 2: Convert to fraction form
    2,900,538/6,381,036 = 6,381,036/x
  3. Step 3: Cross multiply
    2,900,538x = 6,381,036 × 6,381,036
  4. Step 4: Simplify right side
    2,900,538x = 40,717,620,433,296
  5. Step 5: Solve for x
    x = 40,717,620,433,296/2,900,538
  6. Step 6: Final answer
    x = 14,037,954.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.