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Finding the Third Proportional to 6,035,071.50 and 12,933,049.50

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Solution

The third proportional to 6,035,071.50 and 12,933,049.50 is: 27,715,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,035,071.50 : 12,933,049.50 = 12,933,049.50 : x
  2. Step 2: Convert to fraction form
    6,035,071.50/12,933,049.50 = 12,933,049.50/x
  3. Step 3: Cross multiply
    6,035,071.50x = 12,933,049.50 × 12,933,049.50
  4. Step 4: Simplify right side
    6,035,071.50x = 167,263,769,369,450.25
  5. Step 5: Solve for x
    x = 167,263,769,369,450.25/6,035,071.50
  6. Step 6: Final answer
    x = 27,715,292.08

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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.