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Finding the Third Proportional to 1,193,204,682 and 2,812,715,199

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Solution

The third proportional to 1,193,204,682 and 2,812,715,199 is: 6,630,351,782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193,204,682 : 2,812,715,199 = 2,812,715,199 : x
  2. Step 2: Convert to fraction form
    1,193,204,682/2,812,715,199 = 2,812,715,199/x
  3. Step 3: Cross multiply
    1,193,204,682x = 2,812,715,199 × 2,812,715,199
  4. Step 4: Simplify right side
    1,193,204,682x = 7,911,366,790,685,609,984
  5. Step 5: Solve for x
    x = 7,911,366,790,685,609,984/1,193,204,682
  6. Step 6: Final answer
    x = 6,630,351,782.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.