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Finding the Third Proportional to 4,485,924 and 9,729,036

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Solution

The third proportional to 4,485,924 and 9,729,036 is: 21,100,255.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,485,924 : 9,729,036 = 9,729,036 : x
  2. Step 2: Convert to fraction form
    4,485,924/9,729,036 = 9,729,036/x
  3. Step 3: Cross multiply
    4,485,924x = 9,729,036 × 9,729,036
  4. Step 4: Simplify right side
    4,485,924x = 94,654,141,489,296
  5. Step 5: Solve for x
    x = 94,654,141,489,296/4,485,924
  6. Step 6: Final answer
    x = 21,100,255.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.