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Finding the Third Proportional to 6,809,409 and 14,694,533

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Solution

The third proportional to 6,809,409 and 14,694,533 is: 31,710,431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809,409 : 14,694,533 = 14,694,533 : x
  2. Step 2: Convert to fraction form
    6,809,409/14,694,533 = 14,694,533/x
  3. Step 3: Cross multiply
    6,809,409x = 14,694,533 × 14,694,533
  4. Step 4: Simplify right side
    6,809,409x = 215,929,300,088,089
  5. Step 5: Solve for x
    x = 215,929,300,088,089/6,809,409
  6. Step 6: Final answer
    x = 31,710,431.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.