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Finding the Third Proportional to 851,241,332.25 and 1,198,213,013.25

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Solution

The third proportional to 851,241,332.25 and 1,198,213,013.25 is: 1,686,612,680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,241,332.25 : 1,198,213,013.25 = 1,198,213,013.25 : x
  2. Step 2: Convert to fraction form
    851,241,332.25/1,198,213,013.25 = 1,198,213,013.25/x
  3. Step 3: Cross multiply
    851,241,332.25x = 1,198,213,013.25 × 1,198,213,013.25
  4. Step 4: Simplify right side
    851,241,332.25x = 1,435,714,425,121,644,800
  5. Step 5: Solve for x
    x = 1,435,714,425,121,644,800/851,241,332.25
  6. Step 6: Final answer
    x = 1,686,612,680.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.