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Finding the Third Proportional to 515,816,122 and 1,132,965,682

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Solution

The third proportional to 515,816,122 and 1,132,965,682 is: 2,488,505,461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,816,122 : 1,132,965,682 = 1,132,965,682 : x
  2. Step 2: Convert to fraction form
    515,816,122/1,132,965,682 = 1,132,965,682/x
  3. Step 3: Cross multiply
    515,816,122x = 1,132,965,682 × 1,132,965,682
  4. Step 4: Simplify right side
    515,816,122x = 1,283,611,236,589,725,184
  5. Step 5: Solve for x
    x = 1,283,611,236,589,725,184/515,816,122
  6. Step 6: Final answer
    x = 2,488,505,461.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.