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Finding the Third Proportional to 163,403,441 and 352,629,601

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Solution

The third proportional to 163,403,441 and 352,629,601 is: 760,985,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,403,441 : 352,629,601 = 352,629,601 : x
  2. Step 2: Convert to fraction form
    163,403,441/352,629,601 = 352,629,601/x
  3. Step 3: Cross multiply
    163,403,441x = 352,629,601 × 352,629,601
  4. Step 4: Simplify right side
    163,403,441x = 124,347,635,501,419,200
  5. Step 5: Solve for x
    x = 124,347,635,501,419,200/163,403,441
  6. Step 6: Final answer
    x = 760,985,415.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.