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Finding the Third Proportional to 409,276,164 and 629,093,485

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Solution

The third proportional to 409,276,164 and 629,093,485 is: 966,972,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,276,164 : 629,093,485 = 629,093,485 : x
  2. Step 2: Convert to fraction form
    409,276,164/629,093,485 = 629,093,485/x
  3. Step 3: Cross multiply
    409,276,164x = 629,093,485 × 629,093,485
  4. Step 4: Simplify right side
    409,276,164x = 395,758,612,869,445,248
  5. Step 5: Solve for x
    x = 395,758,612,869,445,248/409,276,164
  6. Step 6: Final answer
    x = 966,972,053.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.