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Finding the Third Proportional to 5,210,950 and 11,482,047.50

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Solution

The third proportional to 5,210,950 and 11,482,047.50 is: 25,300,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210,950 : 11,482,047.50 = 11,482,047.50 : x
  2. Step 2: Convert to fraction form
    5,210,950/11,482,047.50 = 11,482,047.50/x
  3. Step 3: Cross multiply
    5,210,950x = 11,482,047.50 × 11,482,047.50
  4. Step 4: Simplify right side
    5,210,950x = 131,837,414,792,256.25
  5. Step 5: Solve for x
    x = 131,837,414,792,256.25/5,210,950
  6. Step 6: Final answer
    x = 25,300,072.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.