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Finding the Third Proportional to 5,768,983 and 12,310,255

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Solution

The third proportional to 5,768,983 and 12,310,255 is: 26,268,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768,983 : 12,310,255 = 12,310,255 : x
  2. Step 2: Convert to fraction form
    5,768,983/12,310,255 = 12,310,255/x
  3. Step 3: Cross multiply
    5,768,983x = 12,310,255 × 12,310,255
  4. Step 4: Simplify right side
    5,768,983x = 151,542,378,165,025
  5. Step 5: Solve for x
    x = 151,542,378,165,025/5,768,983
  6. Step 6: Final answer
    x = 26,268,473.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.