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Finding the Third Proportional to 6,414,720.38 and 13,958,751.94

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Solution

The third proportional to 6,414,720.38 and 13,958,751.94 is: 30,374,941.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414,720.38 : 13,958,751.94 = 13,958,751.94 : x
  2. Step 2: Convert to fraction form
    6,414,720.38/13,958,751.94 = 13,958,751.94/x
  3. Step 3: Cross multiply
    6,414,720.38x = 13,958,751.94 × 13,958,751.94
  4. Step 4: Simplify right side
    6,414,720.38x = 194,846,755,652,660
  5. Step 5: Solve for x
    x = 194,846,755,652,660/6,414,720.38
  6. Step 6: Final answer
    x = 30,374,941.43

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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.