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Finding the Third Proportional to 4,520,245.50 and 6,821,151.75

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Solution

The third proportional to 4,520,245.50 and 6,821,151.75 is: 10,293,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,520,245.50 : 6,821,151.75 = 6,821,151.75 : x
  2. Step 2: Convert to fraction form
    4,520,245.50/6,821,151.75 = 6,821,151.75/x
  3. Step 3: Cross multiply
    4,520,245.50x = 6,821,151.75 × 6,821,151.75
  4. Step 4: Simplify right side
    4,520,245.50x = 46,528,111,196,528.06
  5. Step 5: Solve for x
    x = 46,528,111,196,528.06/4,520,245.50
  6. Step 6: Final answer
    x = 10,293,270.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.