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Finding the Third Proportional to 364,186,866 and 801,015,076

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Solution

The third proportional to 364,186,866 and 801,015,076 is: 1,761,802,008.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,186,866 : 801,015,076 = 801,015,076 : x
  2. Step 2: Convert to fraction form
    364,186,866/801,015,076 = 801,015,076/x
  3. Step 3: Cross multiply
    364,186,866x = 801,015,076 × 801,015,076
  4. Step 4: Simplify right side
    364,186,866x = 641,625,151,979,285,760
  5. Step 5: Solve for x
    x = 641,625,151,979,285,760/364,186,866
  6. Step 6: Final answer
    x = 1,761,802,008.48

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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.