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Finding the Third Proportional to 287,599,776 and 629,006,016

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Solution

The third proportional to 287,599,776 and 629,006,016 is: 1,375,691,503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,599,776 : 629,006,016 = 629,006,016 : x
  2. Step 2: Convert to fraction form
    287,599,776/629,006,016 = 629,006,016/x
  3. Step 3: Cross multiply
    287,599,776x = 629,006,016 × 629,006,016
  4. Step 4: Simplify right side
    287,599,776x = 395,648,568,164,192,256
  5. Step 5: Solve for x
    x = 395,648,568,164,192,256/287,599,776
  6. Step 6: Final answer
    x = 1,375,691,503.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.