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Finding the Third Proportional to 51,383,510 and 75,145,929

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Solution

The third proportional to 51,383,510 and 75,145,929 is: 109,897,331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,383,510 : 75,145,929 = 75,145,929 : x
  2. Step 2: Convert to fraction form
    51,383,510/75,145,929 = 75,145,929/x
  3. Step 3: Cross multiply
    51,383,510x = 75,145,929 × 75,145,929
  4. Step 4: Simplify right side
    51,383,510x = 5,646,910,645,273,041
  5. Step 5: Solve for x
    x = 5,646,910,645,273,041/51,383,510
  6. Step 6: Final answer
    x = 109,897,331.76

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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.