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Finding the Third Proportional to 18,611,941,785,402 and 40,729,981,488,972

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Solution

The third proportional to 18,611,941,785,402 and 40,729,981,488,972 is: 89,132,633,833,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,611,941,785,402 : 40,729,981,488,972 = 40,729,981,488,972 : x
  2. Step 2: Convert to fraction form
    18,611,941,785,402/40,729,981,488,972 = 40,729,981,488,972/x
  3. Step 3: Cross multiply
    18,611,941,785,402x = 40,729,981,488,972 × 40,729,981,488,972
  4. Step 4: Simplify right side
    18,611,941,785,402x = 1,658,931,392,092,001,679,829,893,120
  5. Step 5: Solve for x
    x = 1,658,931,392,092,001,679,829,893,120/18,611,941,785,402
  6. Step 6: Final answer
    x = 89,132,633,833,679.83

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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.