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Finding the Third Proportional to 21,832,689,474 and 33,537,682,020

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Solution

The third proportional to 21,832,689,474 and 33,537,682,020 is: 51,517,982,546.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832,689,474 : 33,537,682,020 = 33,537,682,020 : x
  2. Step 2: Convert to fraction form
    21,832,689,474/33,537,682,020 = 33,537,682,020/x
  3. Step 3: Cross multiply
    21,832,689,474x = 33,537,682,020 × 33,537,682,020
  4. Step 4: Simplify right side
    21,832,689,474x = 1,124,776,115,274,631,217,152
  5. Step 5: Solve for x
    x = 1,124,776,115,274,631,217,152/21,832,689,474
  6. Step 6: Final answer
    x = 51,517,982,546.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.