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Finding the Third Proportional to 2,620,164 and 5,729,100

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Solution

The third proportional to 2,620,164 and 5,729,100 is: 12,526,920.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620,164 : 5,729,100 = 5,729,100 : x
  2. Step 2: Convert to fraction form
    2,620,164/5,729,100 = 5,729,100/x
  3. Step 3: Cross multiply
    2,620,164x = 5,729,100 × 5,729,100
  4. Step 4: Simplify right side
    2,620,164x = 32,822,586,810,000
  5. Step 5: Solve for x
    x = 32,822,586,810,000/2,620,164
  6. Step 6: Final answer
    x = 12,526,920.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.