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Finding the Third Proportional to 4,890,900 and 11,508,084

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Solution

The third proportional to 4,890,900 and 11,508,084 is: 27,078,042.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,890,900 : 11,508,084 = 11,508,084 : x
  2. Step 2: Convert to fraction form
    4,890,900/11,508,084 = 11,508,084/x
  3. Step 3: Cross multiply
    4,890,900x = 11,508,084 × 11,508,084
  4. Step 4: Simplify right side
    4,890,900x = 132,435,997,351,056
  5. Step 5: Solve for x
    x = 132,435,997,351,056/4,890,900
  6. Step 6: Final answer
    x = 27,078,042.35

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.