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Finding the Third Proportional to 7,728,016 and 11,355,720

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Solution

The third proportional to 7,728,016 and 11,355,720 is: 16,686,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728,016 : 11,355,720 = 11,355,720 : x
  2. Step 2: Convert to fraction form
    7,728,016/11,355,720 = 11,355,720/x
  3. Step 3: Cross multiply
    7,728,016x = 11,355,720 × 11,355,720
  4. Step 4: Simplify right side
    7,728,016x = 128,952,376,718,400
  5. Step 5: Solve for x
    x = 128,952,376,718,400/7,728,016
  6. Step 6: Final answer
    x = 16,686,349.60

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.