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Finding the Third Proportional to 35,544,422,823 and 74,030,836,620

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Solution

The third proportional to 35,544,422,823 and 74,030,836,620 is: 154,189,162,050.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,544,422,823 : 74,030,836,620 = 74,030,836,620 : x
  2. Step 2: Convert to fraction form
    35,544,422,823/74,030,836,620 = 74,030,836,620/x
  3. Step 3: Cross multiply
    35,544,422,823x = 74,030,836,620 × 74,030,836,620
  4. Step 4: Simplify right side
    35,544,422,823x = 5,480,564,770,657,133,395,968
  5. Step 5: Solve for x
    x = 5,480,564,770,657,133,395,968/35,544,422,823
  6. Step 6: Final answer
    x = 154,189,162,050.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.