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Finding the Third Proportional to 829,387,623 and 1,781,858,790

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Solution

The third proportional to 829,387,623 and 1,781,858,790 is: 3,828,150,625.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,387,623 : 1,781,858,790 = 1,781,858,790 : x
  2. Step 2: Convert to fraction form
    829,387,623/1,781,858,790 = 1,781,858,790/x
  3. Step 3: Cross multiply
    829,387,623x = 1,781,858,790 × 1,781,858,790
  4. Step 4: Simplify right side
    829,387,623x = 3,175,020,747,500,263,936
  5. Step 5: Solve for x
    x = 3,175,020,747,500,263,936/829,387,623
  6. Step 6: Final answer
    x = 3,828,150,625.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.