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Finding the Third Proportional to 5,739,795 and 12,599,151

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Solution

The third proportional to 5,739,795 and 12,599,151 is: 27,655,797.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739,795 : 12,599,151 = 12,599,151 : x
  2. Step 2: Convert to fraction form
    5,739,795/12,599,151 = 12,599,151/x
  3. Step 3: Cross multiply
    5,739,795x = 12,599,151 × 12,599,151
  4. Step 4: Simplify right side
    5,739,795x = 158,738,605,920,801
  5. Step 5: Solve for x
    x = 158,738,605,920,801/5,739,795
  6. Step 6: Final answer
    x = 27,655,797.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.