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Finding the Third Proportional to 64,649,124 and 143,647,152

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Solution

The third proportional to 64,649,124 and 143,647,152 is: 319,176,858.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,649,124 : 143,647,152 = 143,647,152 : x
  2. Step 2: Convert to fraction form
    64,649,124/143,647,152 = 143,647,152/x
  3. Step 3: Cross multiply
    64,649,124x = 143,647,152 × 143,647,152
  4. Step 4: Simplify right side
    64,649,124x = 20,634,504,277,711,104
  5. Step 5: Solve for x
    x = 20,634,504,277,711,104/64,649,124
  6. Step 6: Final answer
    x = 319,176,858.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.