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Finding the Third Proportional to 3,497,904 and 7,649,856

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Solution

The third proportional to 3,497,904 and 7,649,856 is: 16,730,103.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497,904 : 7,649,856 = 7,649,856 : x
  2. Step 2: Convert to fraction form
    3,497,904/7,649,856 = 7,649,856/x
  3. Step 3: Cross multiply
    3,497,904x = 7,649,856 × 7,649,856
  4. Step 4: Simplify right side
    3,497,904x = 58,520,296,820,736
  5. Step 5: Solve for x
    x = 58,520,296,820,736/3,497,904
  6. Step 6: Final answer
    x = 16,730,103.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.