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Finding the Third Proportional to 2,949,948 and 6,419,036

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Solution

The third proportional to 2,949,948 and 6,419,036 is: 13,967,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949,948 : 6,419,036 = 6,419,036 : x
  2. Step 2: Convert to fraction form
    2,949,948/6,419,036 = 6,419,036/x
  3. Step 3: Cross multiply
    2,949,948x = 6,419,036 × 6,419,036
  4. Step 4: Simplify right side
    2,949,948x = 41,204,023,169,296
  5. Step 5: Solve for x
    x = 41,204,023,169,296/2,949,948
  6. Step 6: Final answer
    x = 13,967,711.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.