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Finding the Third Proportional to 18,611,941,785,398 and 40,729,981,488,960

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Solution

The third proportional to 18,611,941,785,398 and 40,729,981,488,960 is: 89,132,633,833,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,611,941,785,398 : 40,729,981,488,960 = 40,729,981,488,960 : x
  2. Step 2: Convert to fraction form
    18,611,941,785,398/40,729,981,488,960 = 40,729,981,488,960/x
  3. Step 3: Cross multiply
    18,611,941,785,398x = 40,729,981,488,960 × 40,729,981,488,960
  4. Step 4: Simplify right side
    18,611,941,785,398x = 1,658,931,392,091,024,213,992,800,256
  5. Step 5: Solve for x
    x = 1,658,931,392,091,024,213,992,800,256/18,611,941,785,398
  6. Step 6: Final answer
    x = 89,132,633,833,646.47

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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.