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Finding the Third Proportional to 34,255,680 and 50,097,296

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Solution

The third proportional to 34,255,680 and 50,097,296 is: 73,264,902.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,255,680 : 50,097,296 = 50,097,296 : x
  2. Step 2: Convert to fraction form
    34,255,680/50,097,296 = 50,097,296/x
  3. Step 3: Cross multiply
    34,255,680x = 50,097,296 × 50,097,296
  4. Step 4: Simplify right side
    34,255,680x = 2,509,739,066,511,616
  5. Step 5: Solve for x
    x = 2,509,739,066,511,616/34,255,680
  6. Step 6: Final answer
    x = 73,264,902.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.