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Finding the Third Proportional to 5,199,019 and 8,082,047.75

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Solution

The third proportional to 5,199,019 and 8,082,047.75 is: 12,563,811.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199,019 : 8,082,047.75 = 8,082,047.75 : x
  2. Step 2: Convert to fraction form
    5,199,019/8,082,047.75 = 8,082,047.75/x
  3. Step 3: Cross multiply
    5,199,019x = 8,082,047.75 × 8,082,047.75
  4. Step 4: Simplify right side
    5,199,019x = 65,319,495,833,280.06
  5. Step 5: Solve for x
    x = 65,319,495,833,280.06/5,199,019
  6. Step 6: Final answer
    x = 12,563,811.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.