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Finding the Third Proportional to 840,148,469,736 and 1,807,720,968,752

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Solution

The third proportional to 840,148,469,736 and 1,807,720,968,752 is: 3,889,616,203,065.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,148,469,736 : 1,807,720,968,752 = 1,807,720,968,752 : x
  2. Step 2: Convert to fraction form
    840,148,469,736/1,807,720,968,752 = 1,807,720,968,752/x
  3. Step 3: Cross multiply
    840,148,469,736x = 1,807,720,968,752 × 1,807,720,968,752
  4. Step 4: Simplify right side
    840,148,469,736x = 3,267,855,100,865,669,442,306,048
  5. Step 5: Solve for x
    x = 3,267,855,100,865,669,442,306,048/840,148,469,736
  6. Step 6: Final answer
    x = 3,889,616,203,065.31

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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.