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Finding the Third Proportional to 8,964,016 and 19,299,485

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Solution

The third proportional to 8,964,016 and 19,299,485 is: 41,551,701.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964,016 : 19,299,485 = 19,299,485 : x
  2. Step 2: Convert to fraction form
    8,964,016/19,299,485 = 19,299,485/x
  3. Step 3: Cross multiply
    8,964,016x = 19,299,485 × 19,299,485
  4. Step 4: Simplify right side
    8,964,016x = 372,470,121,265,225
  5. Step 5: Solve for x
    x = 372,470,121,265,225/8,964,016
  6. Step 6: Final answer
    x = 41,551,701.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.