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Finding the Third Proportional to 3,504,571,349 and 7,540,675,657

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Solution

The third proportional to 3,504,571,349 and 7,540,675,657 is: 16,225,034,020.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504,571,349 : 7,540,675,657 = 7,540,675,657 : x
  2. Step 2: Convert to fraction form
    3,504,571,349/7,540,675,657 = 7,540,675,657/x
  3. Step 3: Cross multiply
    3,504,571,349x = 7,540,675,657 × 7,540,675,657
  4. Step 4: Simplify right side
    3,504,571,349x = 56,861,789,364,072,382,464
  5. Step 5: Solve for x
    x = 56,861,789,364,072,382,464/3,504,571,349
  6. Step 6: Final answer
    x = 16,225,034,020.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.