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Finding the Third Proportional to 4,485,910 and 9,729,008

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Solution

The third proportional to 4,485,910 and 9,729,008 is: 21,100,199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,485,910 : 9,729,008 = 9,729,008 : x
  2. Step 2: Convert to fraction form
    4,485,910/9,729,008 = 9,729,008/x
  3. Step 3: Cross multiply
    4,485,910x = 9,729,008 × 9,729,008
  4. Step 4: Simplify right side
    4,485,910x = 94,653,596,664,064
  5. Step 5: Solve for x
    x = 94,653,596,664,064/4,485,910
  6. Step 6: Final answer
    x = 21,100,199.66

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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.