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Finding the Third Proportional to 1,753,090,668,000 and 3,770,015,453,217

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Solution

The third proportional to 1,753,090,668,000 and 3,770,015,453,217 is: 8,107,405,268,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753,090,668,000 : 3,770,015,453,217 = 3,770,015,453,217 : x
  2. Step 2: Convert to fraction form
    1,753,090,668,000/3,770,015,453,217 = 3,770,015,453,217/x
  3. Step 3: Cross multiply
    1,753,090,668,000x = 3,770,015,453,217 × 3,770,015,453,217
  4. Step 4: Simplify right side
    1,753,090,668,000x = 14,213,016,517,494,980,950,884,352
  5. Step 5: Solve for x
    x = 14,213,016,517,494,980,950,884,352/1,753,090,668,000
  6. Step 6: Final answer
    x = 8,107,405,268,268.18

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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.