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Finding the Third Proportional to 20,129,959,946 and 30,020,375,215

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Solution

The third proportional to 20,129,959,946 and 30,020,375,215 is: 44,770,229,571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129,959,946 : 30,020,375,215 = 30,020,375,215 : x
  2. Step 2: Convert to fraction form
    20,129,959,946/30,020,375,215 = 30,020,375,215/x
  3. Step 3: Cross multiply
    20,129,959,946x = 30,020,375,215 × 30,020,375,215
  4. Step 4: Simplify right side
    20,129,959,946x = 901,222,928,049,386,291,200
  5. Step 5: Solve for x
    x = 901,222,928,049,386,291,200/20,129,959,946
  6. Step 6: Final answer
    x = 44,770,229,571.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.