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Finding the Third Proportional to 33,273,527,926 and 78,468,216,761

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Solution

The third proportional to 33,273,527,926 and 78,468,216,761 is: 185,049,840,682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,273,527,926 : 78,468,216,761 = 78,468,216,761 : x
  2. Step 2: Convert to fraction form
    33,273,527,926/78,468,216,761 = 78,468,216,761/x
  3. Step 3: Cross multiply
    33,273,527,926x = 78,468,216,761 × 78,468,216,761
  4. Step 4: Simplify right side
    33,273,527,926x = 6,157,261,041,651,281,821,696
  5. Step 5: Solve for x
    x = 6,157,261,041,651,281,821,696/33,273,527,926
  6. Step 6: Final answer
    x = 185,049,840,682.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.