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Finding the Third Proportional to 436,563,585,987.75 and 950,000,611,173.75

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Solution

The third proportional to 436,563,585,987.75 and 950,000,611,173.75 is: 2,067,284,561,053.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,563,585,987.75 : 950,000,611,173.75 = 950,000,611,173.75 : x
  2. Step 2: Convert to fraction form
    436,563,585,987.75/950,000,611,173.75 = 950,000,611,173.75/x
  3. Step 3: Cross multiply
    436,563,585,987.75x = 950,000,611,173.75 × 950,000,611,173.75
  4. Step 4: Simplify right side
    436,563,585,987.75x = 902,501,161,230,498,558,640,128
  5. Step 5: Solve for x
    x = 902,501,161,230,498,558,640,128/436,563,585,987.75
  6. Step 6: Final answer
    x = 2,067,284,561,053.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.