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Finding the Third Proportional to 386,158,295,844 and 831,333,600,072

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Solution

The third proportional to 386,158,295,844 and 831,333,600,072 is: 1,789,720,852,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,158,295,844 : 831,333,600,072 = 831,333,600,072 : x
  2. Step 2: Convert to fraction form
    386,158,295,844/831,333,600,072 = 831,333,600,072/x
  3. Step 3: Cross multiply
    386,158,295,844x = 831,333,600,072 × 831,333,600,072
  4. Step 4: Simplify right side
    386,158,295,844x = 691,115,554,608,672,004,898,816
  5. Step 5: Solve for x
    x = 691,115,554,608,672,004,898,816/386,158,295,844
  6. Step 6: Final answer
    x = 1,789,720,852,942.31

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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.