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Finding the Third Proportional to 3,458,819,655,068 and 7,203,923,770,085

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Solution

The third proportional to 3,458,819,655,068 and 7,203,923,770,085 is: 15,004,112,055,728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458,819,655,068 : 7,203,923,770,085 = 7,203,923,770,085 : x
  2. Step 2: Convert to fraction form
    3,458,819,655,068/7,203,923,770,085 = 7,203,923,770,085/x
  3. Step 3: Cross multiply
    3,458,819,655,068x = 7,203,923,770,085 × 7,203,923,770,085
  4. Step 4: Simplify right side
    3,458,819,655,068x = 51,896,517,685,195,677,785,653,248
  5. Step 5: Solve for x
    x = 51,896,517,685,195,677,785,653,248/3,458,819,655,068
  6. Step 6: Final answer
    x = 15,004,112,055,728.27

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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.