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Finding the Third Proportional to 30,452,783.25 and 49,991,601

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Solution

The third proportional to 30,452,783.25 and 49,991,601 is: 82,066,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,452,783.25 : 49,991,601 = 49,991,601 : x
  2. Step 2: Convert to fraction form
    30,452,783.25/49,991,601 = 49,991,601/x
  3. Step 3: Cross multiply
    30,452,783.25x = 49,991,601 × 49,991,601
  4. Step 4: Simplify right side
    30,452,783.25x = 2,499,160,170,543,201
  5. Step 5: Solve for x
    x = 2,499,160,170,543,201/30,452,783.25
  6. Step 6: Final answer
    x = 82,066,724.41

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.