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Finding the Third Proportional to 293,527,543.50 and 629,072,631

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Solution

The third proportional to 293,527,543.50 and 629,072,631 is: 1,348,195,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,527,543.50 : 629,072,631 = 629,072,631 : x
  2. Step 2: Convert to fraction form
    293,527,543.50/629,072,631 = 629,072,631/x
  3. Step 3: Cross multiply
    293,527,543.50x = 629,072,631 × 629,072,631
  4. Step 4: Simplify right side
    293,527,543.50x = 395,732,375,073,262,144
  5. Step 5: Solve for x
    x = 395,732,375,073,262,144/293,527,543.50
  6. Step 6: Final answer
    x = 1,348,195,029.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.