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Finding the Third Proportional to 382,557,441,966 and 885,643,927,464

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Solution

The third proportional to 382,557,441,966 and 885,643,927,464 is: 2,050,319,978,675.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,557,441,966 : 885,643,927,464 = 885,643,927,464 : x
  2. Step 2: Convert to fraction form
    382,557,441,966/885,643,927,464 = 885,643,927,464/x
  3. Step 3: Cross multiply
    382,557,441,966x = 885,643,927,464 × 885,643,927,464
  4. Step 4: Simplify right side
    382,557,441,966x = 784,365,166,253,858,936,061,952
  5. Step 5: Solve for x
    x = 784,365,166,253,858,936,061,952/382,557,441,966
  6. Step 6: Final answer
    x = 2,050,319,978,675.44

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.