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Finding the Third Proportional to 23,420,825,838 and 35,680,381,362

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Solution

The third proportional to 23,420,825,838 and 35,680,381,362 is: 54,357,161,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,420,825,838 : 35,680,381,362 = 35,680,381,362 : x
  2. Step 2: Convert to fraction form
    23,420,825,838/35,680,381,362 = 35,680,381,362/x
  3. Step 3: Cross multiply
    23,420,825,838x = 35,680,381,362 × 35,680,381,362
  4. Step 4: Simplify right side
    23,420,825,838x = 1,273,089,614,137,757,007,872
  5. Step 5: Solve for x
    x = 1,273,089,614,137,757,007,872/23,420,825,838
  6. Step 6: Final answer
    x = 54,357,161,568.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.