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Finding the Third Proportional to 33,971,511 and 51,945,273

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Solution

The third proportional to 33,971,511 and 51,945,273 is: 79,428,653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,971,511 : 51,945,273 = 51,945,273 : x
  2. Step 2: Convert to fraction form
    33,971,511/51,945,273 = 51,945,273/x
  3. Step 3: Cross multiply
    33,971,511x = 51,945,273 × 51,945,273
  4. Step 4: Simplify right side
    33,971,511x = 2,698,311,387,044,529
  5. Step 5: Solve for x
    x = 2,698,311,387,044,529/33,971,511
  6. Step 6: Final answer
    x = 79,428,653.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.