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Finding the Third Proportional to 12,874,973.63 and 18,046,914.75

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Solution

The third proportional to 12,874,973.63 and 18,046,914.75 is: 25,296,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874,973.63 : 18,046,914.75 = 18,046,914.75 : x
  2. Step 2: Convert to fraction form
    12,874,973.63/18,046,914.75 = 18,046,914.75/x
  3. Step 3: Cross multiply
    12,874,973.63x = 18,046,914.75 × 18,046,914.75
  4. Step 4: Simplify right side
    12,874,973.63x = 325,691,131,993,767.56
  5. Step 5: Solve for x
    x = 325,691,131,993,767.56/12,874,973.63
  6. Step 6: Final answer
    x = 25,296,450.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.