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Finding the Third Proportional to 6,649,571 and 14,362,024

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Solution

The third proportional to 6,649,571 and 14,362,024 is: 31,019,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649,571 : 14,362,024 = 14,362,024 : x
  2. Step 2: Convert to fraction form
    6,649,571/14,362,024 = 14,362,024/x
  3. Step 3: Cross multiply
    6,649,571x = 14,362,024 × 14,362,024
  4. Step 4: Simplify right side
    6,649,571x = 206,267,733,376,576
  5. Step 5: Solve for x
    x = 206,267,733,376,576/6,649,571
  6. Step 6: Final answer
    x = 31,019,705.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.