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Finding the Third Proportional to 6,290,175.23 and 13,758,049.97

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Solution

The third proportional to 6,290,175.23 and 13,758,049.97 is: 30,091,997.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290,175.23 : 13,758,049.97 = 13,758,049.97 : x
  2. Step 2: Convert to fraction form
    6,290,175.23/13,758,049.97 = 13,758,049.97/x
  3. Step 3: Cross multiply
    6,290,175.23x = 13,758,049.97 × 13,758,049.97
  4. Step 4: Simplify right side
    6,290,175.23x = 189,283,938,942,621.88
  5. Step 5: Solve for x
    x = 189,283,938,942,621.88/6,290,175.23
  6. Step 6: Final answer
    x = 30,091,997.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.