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Finding the Third Proportional to 6,942,078 and 15,078,231

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Solution

The third proportional to 6,942,078 and 15,078,231 is: 32,749,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942,078 : 15,078,231 = 15,078,231 : x
  2. Step 2: Convert to fraction form
    6,942,078/15,078,231 = 15,078,231/x
  3. Step 3: Cross multiply
    6,942,078x = 15,078,231 × 15,078,231
  4. Step 4: Simplify right side
    6,942,078x = 227,353,050,089,361
  5. Step 5: Solve for x
    x = 227,353,050,089,361/6,942,078
  6. Step 6: Final answer
    x = 32,749,999.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.