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Finding the Third Proportional to 23,076,296 and 49,241,230

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Solution

The third proportional to 23,076,296 and 49,241,230 is: 105,073,133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076,296 : 49,241,230 = 49,241,230 : x
  2. Step 2: Convert to fraction form
    23,076,296/49,241,230 = 49,241,230/x
  3. Step 3: Cross multiply
    23,076,296x = 49,241,230 × 49,241,230
  4. Step 4: Simplify right side
    23,076,296x = 2,424,698,731,912,900
  5. Step 5: Solve for x
    x = 2,424,698,731,912,900/23,076,296
  6. Step 6: Final answer
    x = 105,073,133.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.