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Finding the Third Proportional to 382,626,533,846 and 822,036,076,976

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Solution

The third proportional to 382,626,533,846 and 822,036,076,976 is: 1,766,064,953,880.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,626,533,846 : 822,036,076,976 = 822,036,076,976 : x
  2. Step 2: Convert to fraction form
    382,626,533,846/822,036,076,976 = 822,036,076,976/x
  3. Step 3: Cross multiply
    382,626,533,846x = 822,036,076,976 × 822,036,076,976
  4. Step 4: Simplify right side
    382,626,533,846x = 675,743,311,850,092,135,186,432
  5. Step 5: Solve for x
    x = 675,743,311,850,092,135,186,432/382,626,533,846
  6. Step 6: Final answer
    x = 1,766,064,953,880.24

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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.