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Finding the Third Proportional to 6,092,770.50 and 13,235,902.50

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Solution

The third proportional to 6,092,770.50 and 13,235,902.50 is: 28,753,604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092,770.50 : 13,235,902.50 = 13,235,902.50 : x
  2. Step 2: Convert to fraction form
    6,092,770.50/13,235,902.50 = 13,235,902.50/x
  3. Step 3: Cross multiply
    6,092,770.50x = 13,235,902.50 × 13,235,902.50
  4. Step 4: Simplify right side
    6,092,770.50x = 175,189,114,989,506.25
  5. Step 5: Solve for x
    x = 175,189,114,989,506.25/6,092,770.50
  6. Step 6: Final answer
    x = 28,753,604.78

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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.