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Finding the Third Proportional to 6,058,617 and 12,968,319

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Solution

The third proportional to 6,058,617 and 12,968,319 is: 27,758,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058,617 : 12,968,319 = 12,968,319 : x
  2. Step 2: Convert to fraction form
    6,058,617/12,968,319 = 12,968,319/x
  3. Step 3: Cross multiply
    6,058,617x = 12,968,319 × 12,968,319
  4. Step 4: Simplify right side
    6,058,617x = 168,177,297,685,761
  5. Step 5: Solve for x
    x = 168,177,297,685,761/6,058,617
  6. Step 6: Final answer
    x = 27,758,364.27

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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.