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Finding the Third Proportional to 149,528,377,530 and 321,735,494,646

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Solution

The third proportional to 149,528,377,530 and 321,735,494,646 is: 692,268,118,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,528,377,530 : 321,735,494,646 = 321,735,494,646 : x
  2. Step 2: Convert to fraction form
    149,528,377,530/321,735,494,646 = 321,735,494,646/x
  3. Step 3: Cross multiply
    149,528,377,530x = 321,735,494,646 × 321,735,494,646
  4. Step 4: Simplify right side
    149,528,377,530x = 103,513,728,515,106,295,250,944
  5. Step 5: Solve for x
    x = 103,513,728,515,106,295,250,944/149,528,377,530
  6. Step 6: Final answer
    x = 692,268,118,099.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.