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Finding the Third Proportional to 6,809,407 and 14,694,529

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Solution

The third proportional to 6,809,407 and 14,694,529 is: 31,710,423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809,407 : 14,694,529 = 14,694,529 : x
  2. Step 2: Convert to fraction form
    6,809,407/14,694,529 = 14,694,529/x
  3. Step 3: Cross multiply
    6,809,407x = 14,694,529 × 14,694,529
  4. Step 4: Simplify right side
    6,809,407x = 215,929,182,531,841
  5. Step 5: Solve for x
    x = 215,929,182,531,841/6,809,407
  6. Step 6: Final answer
    x = 31,710,423.91

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