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Finding the Third Proportional to 30,284,409.75 and 66,050,082.75

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Solution

The third proportional to 30,284,409.75 and 66,050,082.75 is: 144,054,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,284,409.75 : 66,050,082.75 = 66,050,082.75 : x
  2. Step 2: Convert to fraction form
    30,284,409.75/66,050,082.75 = 66,050,082.75/x
  3. Step 3: Cross multiply
    30,284,409.75x = 66,050,082.75 × 66,050,082.75
  4. Step 4: Simplify right side
    30,284,409.75x = 4,362,613,431,281,847.50
  5. Step 5: Solve for x
    x = 4,362,613,431,281,847.50/30,284,409.75
  6. Step 6: Final answer
    x = 144,054,761.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.