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Finding the Third Proportional to 5,321,059 and 8,114,443.50

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Solution

The third proportional to 5,321,059 and 8,114,443.50 is: 12,374,264.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321,059 : 8,114,443.50 = 8,114,443.50 : x
  2. Step 2: Convert to fraction form
    5,321,059/8,114,443.50 = 8,114,443.50/x
  3. Step 3: Cross multiply
    5,321,059x = 8,114,443.50 × 8,114,443.50
  4. Step 4: Simplify right side
    5,321,059x = 65,844,193,314,692.25
  5. Step 5: Solve for x
    x = 65,844,193,314,692.25/5,321,059
  6. Step 6: Final answer
    x = 12,374,264.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.