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Finding the Third Proportional to 9,214,134 and 20,048,832

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Solution

The third proportional to 9,214,134 and 20,048,832 is: 43,623,813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214,134 : 20,048,832 = 20,048,832 : x
  2. Step 2: Convert to fraction form
    9,214,134/20,048,832 = 20,048,832/x
  3. Step 3: Cross multiply
    9,214,134x = 20,048,832 × 20,048,832
  4. Step 4: Simplify right side
    9,214,134x = 401,955,664,564,224
  5. Step 5: Solve for x
    x = 401,955,664,564,224/9,214,134
  6. Step 6: Final answer
    x = 43,623,813.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.