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Finding the Third Proportional to 6,058,532 and 12,968,296

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Solution

The third proportional to 6,058,532 and 12,968,296 is: 27,758,655.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058,532 : 12,968,296 = 12,968,296 : x
  2. Step 2: Convert to fraction form
    6,058,532/12,968,296 = 12,968,296/x
  3. Step 3: Cross multiply
    6,058,532x = 12,968,296 × 12,968,296
  4. Step 4: Simplify right side
    6,058,532x = 168,176,701,143,616
  5. Step 5: Solve for x
    x = 168,176,701,143,616/6,058,532
  6. Step 6: Final answer
    x = 27,758,655.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.