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Finding the Third Proportional to 12,511,842 and 27,415,164

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Solution

The third proportional to 12,511,842 and 27,415,164 is: 60,070,389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,511,842 : 27,415,164 = 27,415,164 : x
  2. Step 2: Convert to fraction form
    12,511,842/27,415,164 = 27,415,164/x
  3. Step 3: Cross multiply
    12,511,842x = 27,415,164 × 27,415,164
  4. Step 4: Simplify right side
    12,511,842x = 751,591,217,146,896
  5. Step 5: Solve for x
    x = 751,591,217,146,896/12,511,842
  6. Step 6: Final answer
    x = 60,070,389.09

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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.