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Finding the Third Proportional to 51,383,504 and 75,145,920

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Solution

The third proportional to 51,383,504 and 75,145,920 is: 109,897,318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,383,504 : 75,145,920 = 75,145,920 : x
  2. Step 2: Convert to fraction form
    51,383,504/75,145,920 = 75,145,920/x
  3. Step 3: Cross multiply
    51,383,504x = 75,145,920 × 75,145,920
  4. Step 4: Simplify right side
    51,383,504x = 5,646,909,292,646,400
  5. Step 5: Solve for x
    x = 5,646,909,292,646,400/51,383,504
  6. Step 6: Final answer
    x = 109,897,318.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.