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Finding the Third Proportional to 4,827,738.50 and 10,052,316.50

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Solution

The third proportional to 4,827,738.50 and 10,052,316.50 is: 20,930,932.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827,738.50 : 10,052,316.50 = 10,052,316.50 : x
  2. Step 2: Convert to fraction form
    4,827,738.50/10,052,316.50 = 10,052,316.50/x
  3. Step 3: Cross multiply
    4,827,738.50x = 10,052,316.50 × 10,052,316.50
  4. Step 4: Simplify right side
    4,827,738.50x = 101,049,067,016,172.25
  5. Step 5: Solve for x
    x = 101,049,067,016,172.25/4,827,738.50
  6. Step 6: Final answer
    x = 20,930,932.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.