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Finding the Third Proportional to 129,352,173,619 and 281,481,662,555

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Solution

The third proportional to 129,352,173,619 and 281,481,662,555 is: 612,528,758,798.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,352,173,619 : 281,481,662,555 = 281,481,662,555 : x
  2. Step 2: Convert to fraction form
    129,352,173,619/281,481,662,555 = 281,481,662,555/x
  3. Step 3: Cross multiply
    129,352,173,619x = 281,481,662,555 × 281,481,662,555
  4. Step 4: Simplify right side
    129,352,173,619x = 79,231,926,354,726,891,814,912
  5. Step 5: Solve for x
    x = 79,231,926,354,726,891,814,912/129,352,173,619
  6. Step 6: Final answer
    x = 612,528,758,798.44

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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.