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Finding the Third Proportional to 1,504,145,717 and 3,298,857,226

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Solution

The third proportional to 1,504,145,717 and 3,298,857,226 is: 7,234,976,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504,145,717 : 3,298,857,226 = 3,298,857,226 : x
  2. Step 2: Convert to fraction form
    1,504,145,717/3,298,857,226 = 3,298,857,226/x
  3. Step 3: Cross multiply
    1,504,145,717x = 3,298,857,226 × 3,298,857,226
  4. Step 4: Simplify right side
    1,504,145,717x = 10,882,458,997,532,416,000
  5. Step 5: Solve for x
    x = 10,882,458,997,532,416,000/1,504,145,717
  6. Step 6: Final answer
    x = 7,234,976,554.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.