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Finding the Third Proportional to 6,014,648 and 9,212,484

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Solution

The third proportional to 6,014,648 and 9,212,484 is: 14,110,528.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014,648 : 9,212,484 = 9,212,484 : x
  2. Step 2: Convert to fraction form
    6,014,648/9,212,484 = 9,212,484/x
  3. Step 3: Cross multiply
    6,014,648x = 9,212,484 × 9,212,484
  4. Step 4: Simplify right side
    6,014,648x = 84,869,861,450,256
  5. Step 5: Solve for x
    x = 84,869,861,450,256/6,014,648
  6. Step 6: Final answer
    x = 14,110,528.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.