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Finding the Third Proportional to 4,738,437 and 7,278,754.50

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Solution

The third proportional to 4,738,437 and 7,278,754.50 is: 11,180,958.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738,437 : 7,278,754.50 = 7,278,754.50 : x
  2. Step 2: Convert to fraction form
    4,738,437/7,278,754.50 = 7,278,754.50/x
  3. Step 3: Cross multiply
    4,738,437x = 7,278,754.50 × 7,278,754.50
  4. Step 4: Simplify right side
    4,738,437x = 52,980,267,071,270.25
  5. Step 5: Solve for x
    x = 52,980,267,071,270.25/4,738,437
  6. Step 6: Final answer
    x = 11,180,958.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.