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Finding the Third Proportional to 6,675,657.75 and 14,296,099.50

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Solution

The third proportional to 6,675,657.75 and 14,296,099.50 is: 30,615,479.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675,657.75 : 14,296,099.50 = 14,296,099.50 : x
  2. Step 2: Convert to fraction form
    6,675,657.75/14,296,099.50 = 14,296,099.50/x
  3. Step 3: Cross multiply
    6,675,657.75x = 14,296,099.50 × 14,296,099.50
  4. Step 4: Simplify right side
    6,675,657.75x = 204,378,460,913,900.25
  5. Step 5: Solve for x
    x = 204,378,460,913,900.25/6,675,657.75
  6. Step 6: Final answer
    x = 30,615,479.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.