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Finding the Third Proportional to 669,102,714 and 1,449,389,592

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Solution

The third proportional to 669,102,714 and 1,449,389,592 is: 3,139,622,879.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,102,714 : 1,449,389,592 = 1,449,389,592 : x
  2. Step 2: Convert to fraction form
    669,102,714/1,449,389,592 = 1,449,389,592/x
  3. Step 3: Cross multiply
    669,102,714x = 1,449,389,592 × 1,449,389,592
  4. Step 4: Simplify right side
    669,102,714x = 2,100,730,189,397,926,400
  5. Step 5: Solve for x
    x = 2,100,730,189,397,926,400/669,102,714
  6. Step 6: Final answer
    x = 3,139,622,879.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.