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Finding the Third Proportional to 33,514,884 and 51,246,270

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Solution

The third proportional to 33,514,884 and 51,246,270 is: 78,358,623.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,514,884 : 51,246,270 = 51,246,270 : x
  2. Step 2: Convert to fraction form
    33,514,884/51,246,270 = 51,246,270/x
  3. Step 3: Cross multiply
    33,514,884x = 51,246,270 × 51,246,270
  4. Step 4: Simplify right side
    33,514,884x = 2,626,180,188,912,900
  5. Step 5: Solve for x
    x = 2,626,180,188,912,900/33,514,884
  6. Step 6: Final answer
    x = 78,358,623.86

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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.