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Finding the Third Proportional to 1,768,096,197 and 2,717,690,544

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Solution

The third proportional to 1,768,096,197 and 2,717,690,544 is: 4,177,285,096.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768,096,197 : 2,717,690,544 = 2,717,690,544 : x
  2. Step 2: Convert to fraction form
    1,768,096,197/2,717,690,544 = 2,717,690,544/x
  3. Step 3: Cross multiply
    1,768,096,197x = 2,717,690,544 × 2,717,690,544
  4. Step 4: Simplify right side
    1,768,096,197x = 7,385,841,892,947,015,680
  5. Step 5: Solve for x
    x = 7,385,841,892,947,015,680/1,768,096,197
  6. Step 6: Final answer
    x = 4,177,285,096.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.