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Finding the Third Proportional to 13,053,749 and 27,180,250

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Solution

The third proportional to 13,053,749 and 27,180,250 is: 56,594,162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053,749 : 27,180,250 = 27,180,250 : x
  2. Step 2: Convert to fraction form
    13,053,749/27,180,250 = 27,180,250/x
  3. Step 3: Cross multiply
    13,053,749x = 27,180,250 × 27,180,250
  4. Step 4: Simplify right side
    13,053,749x = 738,765,990,062,500
  5. Step 5: Solve for x
    x = 738,765,990,062,500/13,053,749
  6. Step 6: Final answer
    x = 56,594,162.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.