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Finding the Third Proportional to 8,000,311.50 and 12,709,055.25

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Solution

The third proportional to 8,000,311.50 and 12,709,055.25 is: 20,189,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000,311.50 : 12,709,055.25 = 12,709,055.25 : x
  2. Step 2: Convert to fraction form
    8,000,311.50/12,709,055.25 = 12,709,055.25/x
  3. Step 3: Cross multiply
    8,000,311.50x = 12,709,055.25 × 12,709,055.25
  4. Step 4: Simplify right side
    8,000,311.50x = 161,520,085,347,552.56
  5. Step 5: Solve for x
    x = 161,520,085,347,552.56/8,000,311.50
  6. Step 6: Final answer
    x = 20,189,224.55

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.