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Finding the Third Proportional to 6,291,124 and 13,759,758

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Solution

The third proportional to 6,291,124 and 13,759,758 is: 30,094,930.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291,124 : 13,759,758 = 13,759,758 : x
  2. Step 2: Convert to fraction form
    6,291,124/13,759,758 = 13,759,758/x
  3. Step 3: Cross multiply
    6,291,124x = 13,759,758 × 13,759,758
  4. Step 4: Simplify right side
    6,291,124x = 189,330,940,218,564
  5. Step 5: Solve for x
    x = 189,330,940,218,564/6,291,124
  6. Step 6: Final answer
    x = 30,094,930.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.