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Finding the Third Proportional to 6,589,963 and 14,313,390

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Solution

The third proportional to 6,589,963 and 14,313,390 is: 31,088,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589,963 : 14,313,390 = 14,313,390 : x
  2. Step 2: Convert to fraction form
    6,589,963/14,313,390 = 14,313,390/x
  3. Step 3: Cross multiply
    6,589,963x = 14,313,390 × 14,313,390
  4. Step 4: Simplify right side
    6,589,963x = 204,873,133,292,100
  5. Step 5: Solve for x
    x = 204,873,133,292,100/6,589,963
  6. Step 6: Final answer
    x = 31,088,662.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.