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Finding the Third Proportional to 1,839,610,188 and 2,758,739,907

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Solution

The third proportional to 1,839,610,188 and 2,758,739,907 is: 4,137,097,045.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839,610,188 : 2,758,739,907 = 2,758,739,907 : x
  2. Step 2: Convert to fraction form
    1,839,610,188/2,758,739,907 = 2,758,739,907/x
  3. Step 3: Cross multiply
    1,839,610,188x = 2,758,739,907 × 2,758,739,907
  4. Step 4: Simplify right side
    1,839,610,188x = 7,610,645,874,474,369,024
  5. Step 5: Solve for x
    x = 7,610,645,874,474,369,024/1,839,610,188
  6. Step 6: Final answer
    x = 4,137,097,045.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.