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Finding the Third Proportional to 364,186,863 and 801,015,069

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Solution

The third proportional to 364,186,863 and 801,015,069 is: 1,761,801,992.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,186,863 : 801,015,069 = 801,015,069 : x
  2. Step 2: Convert to fraction form
    364,186,863/801,015,069 = 801,015,069/x
  3. Step 3: Cross multiply
    364,186,863x = 801,015,069 × 801,015,069
  4. Step 4: Simplify right side
    364,186,863x = 641,625,140,765,074,816
  5. Step 5: Solve for x
    x = 641,625,140,765,074,816/364,186,863
  6. Step 6: Final answer
    x = 1,761,801,992.20

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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.