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Finding the Third Proportional to 6,648,696 and 14,347,152

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Solution

The third proportional to 6,648,696 and 14,347,152 is: 30,959,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648,696 : 14,347,152 = 14,347,152 : x
  2. Step 2: Convert to fraction form
    6,648,696/14,347,152 = 14,347,152/x
  3. Step 3: Cross multiply
    6,648,696x = 14,347,152 × 14,347,152
  4. Step 4: Simplify right side
    6,648,696x = 205,840,770,511,104
  5. Step 5: Solve for x
    x = 205,840,770,511,104/6,648,696
  6. Step 6: Final answer
    x = 30,959,570.19

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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.