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Finding the Third Proportional to 2,877,100 and 6,296,036

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Solution

The third proportional to 2,877,100 and 6,296,036 is: 13,777,786.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877,100 : 6,296,036 = 6,296,036 : x
  2. Step 2: Convert to fraction form
    2,877,100/6,296,036 = 6,296,036/x
  3. Step 3: Cross multiply
    2,877,100x = 6,296,036 × 6,296,036
  4. Step 4: Simplify right side
    2,877,100x = 39,640,069,313,296
  5. Step 5: Solve for x
    x = 39,640,069,313,296/2,877,100
  6. Step 6: Final answer
    x = 13,777,786.42

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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.