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Finding the Third Proportional to 31,696,843,047 and 69,089,003,966

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Solution

The third proportional to 31,696,843,047 and 69,089,003,966 is: 150,591,983,622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,696,843,047 : 69,089,003,966 = 69,089,003,966 : x
  2. Step 2: Convert to fraction form
    31,696,843,047/69,089,003,966 = 69,089,003,966/x
  3. Step 3: Cross multiply
    31,696,843,047x = 69,089,003,966 × 69,089,003,966
  4. Step 4: Simplify right side
    31,696,843,047x = 4,773,290,469,013,963,407,360
  5. Step 5: Solve for x
    x = 4,773,290,469,013,963,407,360/31,696,843,047
  6. Step 6: Final answer
    x = 150,591,983,622.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.