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Finding the Third Proportional to 129,352,173,630 and 281,481,662,578

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Solution

The third proportional to 129,352,173,630 and 281,481,662,578 is: 612,528,758,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,352,173,630 : 281,481,662,578 = 281,481,662,578 : x
  2. Step 2: Convert to fraction form
    129,352,173,630/281,481,662,578 = 281,481,662,578/x
  3. Step 3: Cross multiply
    129,352,173,630x = 281,481,662,578 × 281,481,662,578
  4. Step 4: Simplify right side
    129,352,173,630x = 79,231,926,367,675,043,807,232
  5. Step 5: Solve for x
    x = 79,231,926,367,675,043,807,232/129,352,173,630
  6. Step 6: Final answer
    x = 612,528,758,846.46

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