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Finding the Third Proportional to 6,109,659 and 8,416,098

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Solution

The third proportional to 6,109,659 and 8,416,098 is: 11,593,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109,659 : 8,416,098 = 8,416,098 : x
  2. Step 2: Convert to fraction form
    6,109,659/8,416,098 = 8,416,098/x
  3. Step 3: Cross multiply
    6,109,659x = 8,416,098 × 8,416,098
  4. Step 4: Simplify right side
    6,109,659x = 70,830,705,545,604
  5. Step 5: Solve for x
    x = 70,830,705,545,604/6,109,659
  6. Step 6: Final answer
    x = 11,593,233.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.