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Finding the Third Proportional to 21,832,689,477 and 33,537,682,025

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Solution

The third proportional to 21,832,689,477 and 33,537,682,025 is: 51,517,982,555.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832,689,477 : 33,537,682,025 = 33,537,682,025 : x
  2. Step 2: Convert to fraction form
    21,832,689,477/33,537,682,025 = 33,537,682,025/x
  3. Step 3: Cross multiply
    21,832,689,477x = 33,537,682,025 × 33,537,682,025
  4. Step 4: Simplify right side
    21,832,689,477x = 1,124,776,115,610,008,158,208
  5. Step 5: Solve for x
    x = 1,124,776,115,610,008,158,208/21,832,689,477
  6. Step 6: Final answer
    x = 51,517,982,555.24

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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.