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Finding the Third Proportional to 364,186,864 and 801,015,071

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Solution

The third proportional to 364,186,864 and 801,015,071 is: 1,761,801,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,186,864 : 801,015,071 = 801,015,071 : x
  2. Step 2: Convert to fraction form
    364,186,864/801,015,071 = 801,015,071/x
  3. Step 3: Cross multiply
    364,186,864x = 801,015,071 × 801,015,071
  4. Step 4: Simplify right side
    364,186,864x = 641,625,143,969,135,104
  5. Step 5: Solve for x
    x = 641,625,143,969,135,104/364,186,864
  6. Step 6: Final answer
    x = 1,761,801,996.16

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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.