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Finding the Third Proportional to 382,626,534,528 and 822,036,078,384

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Solution

The third proportional to 382,626,534,528 and 822,036,078,384 is: 1,766,064,956,782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,626,534,528 : 822,036,078,384 = 822,036,078,384 : x
  2. Step 2: Convert to fraction form
    382,626,534,528/822,036,078,384 = 822,036,078,384/x
  3. Step 3: Cross multiply
    382,626,534,528x = 822,036,078,384 × 822,036,078,384
  4. Step 4: Simplify right side
    382,626,534,528x = 675,743,314,164,945,826,873,344
  5. Step 5: Solve for x
    x = 675,743,314,164,945,826,873,344/382,626,534,528
  6. Step 6: Final answer
    x = 1,766,064,956,782.28

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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.