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Finding the Third Proportional to 840,148,469,738 and 1,807,720,968,756

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Solution

The third proportional to 840,148,469,738 and 1,807,720,968,756 is: 3,889,616,203,073.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,148,469,738 : 1,807,720,968,756 = 1,807,720,968,756 : x
  2. Step 2: Convert to fraction form
    840,148,469,738/1,807,720,968,756 = 1,807,720,968,756/x
  3. Step 3: Cross multiply
    840,148,469,738x = 1,807,720,968,756 × 1,807,720,968,756
  4. Step 4: Simplify right side
    840,148,469,738x = 3,267,855,100,880,131,134,062,592
  5. Step 5: Solve for x
    x = 3,267,855,100,880,131,134,062,592/840,148,469,738
  6. Step 6: Final answer
    x = 3,889,616,203,073.26

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