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Finding the Third Proportional to 16,902,189,876,432 and 37,124,863,504,224

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Solution

The third proportional to 16,902,189,876,432 and 37,124,863,504,224 is: 81,543,013,081,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,902,189,876,432 : 37,124,863,504,224 = 37,124,863,504,224 : x
  2. Step 2: Convert to fraction form
    16,902,189,876,432/37,124,863,504,224 = 37,124,863,504,224/x
  3. Step 3: Cross multiply
    16,902,189,876,432x = 37,124,863,504,224 × 37,124,863,504,224
  4. Step 4: Simplify right side
    16,902,189,876,432x = 1,378,255,490,207,263,079,543,078,912
  5. Step 5: Solve for x
    x = 1,378,255,490,207,263,079,543,078,912/16,902,189,876,432
  6. Step 6: Final answer
    x = 81,543,013,081,936.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.