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Finding the Third Proportional to 12,031,194 and 25,053,828

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Solution

The third proportional to 12,031,194 and 25,053,828 is: 52,172,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031,194 : 25,053,828 = 25,053,828 : x
  2. Step 2: Convert to fraction form
    12,031,194/25,053,828 = 25,053,828/x
  3. Step 3: Cross multiply
    12,031,194x = 25,053,828 × 25,053,828
  4. Step 4: Simplify right side
    12,031,194x = 627,694,297,453,584
  5. Step 5: Solve for x
    x = 627,694,297,453,584/12,031,194
  6. Step 6: Final answer
    x = 52,172,236.39

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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.