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Finding the Third Proportional to 7,638,858 and 16,064,148

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Solution

The third proportional to 7,638,858 and 16,064,148 is: 33,782,124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638,858 : 16,064,148 = 16,064,148 : x
  2. Step 2: Convert to fraction form
    7,638,858/16,064,148 = 16,064,148/x
  3. Step 3: Cross multiply
    7,638,858x = 16,064,148 × 16,064,148
  4. Step 4: Simplify right side
    7,638,858x = 258,056,850,965,904
  5. Step 5: Solve for x
    x = 258,056,850,965,904/7,638,858
  6. Step 6: Final answer
    x = 33,782,124.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.