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Finding the Third Proportional to 18,611,941,785,388 and 40,729,981,488,942

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Solution

The third proportional to 18,611,941,785,388 and 40,729,981,488,942 is: 89,132,633,833,615.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,611,941,785,388 : 40,729,981,488,942 = 40,729,981,488,942 : x
  2. Step 2: Convert to fraction form
    18,611,941,785,388/40,729,981,488,942 = 40,729,981,488,942/x
  3. Step 3: Cross multiply
    18,611,941,785,388x = 40,729,981,488,942 × 40,729,981,488,942
  4. Step 4: Simplify right side
    18,611,941,785,388x = 1,658,931,392,089,558,015,237,160,960
  5. Step 5: Solve for x
    x = 1,658,931,392,089,558,015,237,160,960/18,611,941,785,388
  6. Step 6: Final answer
    x = 89,132,633,833,615.58

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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.