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Finding the Third Proportional to 1,753,090,668,003 and 3,770,015,453,223

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Solution

The third proportional to 1,753,090,668,003 and 3,770,015,453,223 is: 8,107,405,268,280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753,090,668,003 : 3,770,015,453,223 = 3,770,015,453,223 : x
  2. Step 2: Convert to fraction form
    1,753,090,668,003/3,770,015,453,223 = 3,770,015,453,223/x
  3. Step 3: Cross multiply
    1,753,090,668,003x = 3,770,015,453,223 × 3,770,015,453,223
  4. Step 4: Simplify right side
    1,753,090,668,003x = 14,213,016,517,540,221,988,896,768
  5. Step 5: Solve for x
    x = 14,213,016,517,540,221,988,896,768/1,753,090,668,003
  6. Step 6: Final answer
    x = 8,107,405,268,280.11

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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.