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Finding the Third Proportional to 46,206,342,405 and 101,270,743,396

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Solution

The third proportional to 46,206,342,405 and 101,270,743,396 is: 221,955,751,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,206,342,405 : 101,270,743,396 = 101,270,743,396 : x
  2. Step 2: Convert to fraction form
    46,206,342,405/101,270,743,396 = 101,270,743,396/x
  3. Step 3: Cross multiply
    46,206,342,405x = 101,270,743,396 × 101,270,743,396
  4. Step 4: Simplify right side
    46,206,342,405x = 10,255,763,467,978,477,142,016
  5. Step 5: Solve for x
    x = 10,255,763,467,978,477,142,016/46,206,342,405
  6. Step 6: Final answer
    x = 221,955,751,833.51

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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.