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Finding the Third Proportional to 7,122,180.38 and 14,496,063.38

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Solution

The third proportional to 7,122,180.38 and 14,496,063.38 is: 29,504,427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122,180.38 : 14,496,063.38 = 14,496,063.38 : x
  2. Step 2: Convert to fraction form
    7,122,180.38/14,496,063.38 = 14,496,063.38/x
  3. Step 3: Cross multiply
    7,122,180.38x = 14,496,063.38 × 14,496,063.38
  4. Step 4: Simplify right side
    7,122,180.38x = 210,135,853,372,016.38
  5. Step 5: Solve for x
    x = 210,135,853,372,016.38/7,122,180.38
  6. Step 6: Final answer
    x = 29,504,427.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.