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Finding the Third Proportional to 6,706,886 and 14,527,974

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Solution

The third proportional to 6,706,886 and 14,527,974 is: 31,469,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706,886 : 14,527,974 = 14,527,974 : x
  2. Step 2: Convert to fraction form
    6,706,886/14,527,974 = 14,527,974/x
  3. Step 3: Cross multiply
    6,706,886x = 14,527,974 × 14,527,974
  4. Step 4: Simplify right side
    6,706,886x = 211,062,028,544,676
  5. Step 5: Solve for x
    x = 211,062,028,544,676/6,706,886
  6. Step 6: Final answer
    x = 31,469,452.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.