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Finding the Third Proportional to 382,626,533,844 and 822,036,076,972

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Solution

The third proportional to 382,626,533,844 and 822,036,076,972 is: 1,766,064,953,872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,626,533,844 : 822,036,076,972 = 822,036,076,972 : x
  2. Step 2: Convert to fraction form
    382,626,533,844/822,036,076,972 = 822,036,076,972/x
  3. Step 3: Cross multiply
    382,626,533,844x = 822,036,076,972 × 822,036,076,972
  4. Step 4: Simplify right side
    382,626,533,844x = 675,743,311,843,515,869,167,616
  5. Step 5: Solve for x
    x = 675,743,311,843,515,869,167,616/382,626,533,844
  6. Step 6: Final answer
    x = 1,766,064,953,872.28

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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.