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Finding the Third Proportional to 23,076,615 and 49,242,249

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Solution

The third proportional to 23,076,615 and 49,242,249 is: 105,076,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076,615 : 49,242,249 = 49,242,249 : x
  2. Step 2: Convert to fraction form
    23,076,615/49,242,249 = 49,242,249/x
  3. Step 3: Cross multiply
    23,076,615x = 49,242,249 × 49,242,249
  4. Step 4: Simplify right side
    23,076,615x = 2,424,799,086,578,001
  5. Step 5: Solve for x
    x = 2,424,799,086,578,001/23,076,615
  6. Step 6: Final answer
    x = 105,076,029.85

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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.