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Finding the Third Proportional to 314,222,692.50 and 682,836,075

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Solution

The third proportional to 314,222,692.50 and 682,836,075 is: 1,483,868,340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,222,692.50 : 682,836,075 = 682,836,075 : x
  2. Step 2: Convert to fraction form
    314,222,692.50/682,836,075 = 682,836,075/x
  3. Step 3: Cross multiply
    314,222,692.50x = 682,836,075 × 682,836,075
  4. Step 4: Simplify right side
    314,222,692.50x = 466,265,105,321,405,632
  5. Step 5: Solve for x
    x = 466,265,105,321,405,632/314,222,692.50
  6. Step 6: Final answer
    x = 1,483,868,340.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.