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Finding the Third Proportional to 348,876,568,976 and 757,295,122,520

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Solution

The third proportional to 348,876,568,976 and 757,295,122,520 is: 1,643,836,111,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,876,568,976 : 757,295,122,520 = 757,295,122,520 : x
  2. Step 2: Convert to fraction form
    348,876,568,976/757,295,122,520 = 757,295,122,520/x
  3. Step 3: Cross multiply
    348,876,568,976x = 757,295,122,520 × 757,295,122,520
  4. Step 4: Simplify right side
    348,876,568,976x = 573,495,902,592,581,840,666,624
  5. Step 5: Solve for x
    x = 573,495,902,592,581,840,666,624/348,876,568,976
  6. Step 6: Final answer
    x = 1,643,836,111,653.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.