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Finding the Third Proportional to 23,029,999,974 and 35,383,049,640

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Solution

The third proportional to 23,029,999,974 and 35,383,049,640 is: 54,362,145,168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,029,999,974 : 35,383,049,640 = 35,383,049,640 : x
  2. Step 2: Convert to fraction form
    23,029,999,974/35,383,049,640 = 35,383,049,640/x
  3. Step 3: Cross multiply
    23,029,999,974x = 35,383,049,640 × 35,383,049,640
  4. Step 4: Simplify right side
    23,029,999,974x = 1,251,960,201,826,704,031,744
  5. Step 5: Solve for x
    x = 1,251,960,201,826,704,031,744/23,029,999,974
  6. Step 6: Final answer
    x = 54,362,145,168.92

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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.