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Finding the Third Proportional to 23,038,768 and 49,496,512

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Solution

The third proportional to 23,038,768 and 49,496,512 is: 106,338,355.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,038,768 : 49,496,512 = 49,496,512 : x
  2. Step 2: Convert to fraction form
    23,038,768/49,496,512 = 49,496,512/x
  3. Step 3: Cross multiply
    23,038,768x = 49,496,512 × 49,496,512
  4. Step 4: Simplify right side
    23,038,768x = 2,449,904,700,166,144
  5. Step 5: Solve for x
    x = 2,449,904,700,166,144/23,038,768
  6. Step 6: Final answer
    x = 106,338,355.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.