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Finding the Third Proportional to 7,970,697 and 16,649,025

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Solution

The third proportional to 7,970,697 and 16,649,025 is: 34,776,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970,697 : 16,649,025 = 16,649,025 : x
  2. Step 2: Convert to fraction form
    7,970,697/16,649,025 = 16,649,025/x
  3. Step 3: Cross multiply
    7,970,697x = 16,649,025 × 16,649,025
  4. Step 4: Simplify right side
    7,970,697x = 277,190,033,450,625
  5. Step 5: Solve for x
    x = 277,190,033,450,625/7,970,697
  6. Step 6: Final answer
    x = 34,776,134.82

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.