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Finding the Third Proportional to 345,379,576.56 and 751,273,306.44

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Solution

The third proportional to 345,379,576.56 and 751,273,306.44 is: 1,634,177,638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,379,576.56 : 751,273,306.44 = 751,273,306.44 : x
  2. Step 2: Convert to fraction form
    345,379,576.56/751,273,306.44 = 751,273,306.44/x
  3. Step 3: Cross multiply
    345,379,576.56x = 751,273,306.44 × 751,273,306.44
  4. Step 4: Simplify right side
    345,379,576.56x = 564,411,580,965,533,760
  5. Step 5: Solve for x
    x = 564,411,580,965,533,760/345,379,576.56
  6. Step 6: Final answer
    x = 1,634,177,638.94

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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.