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Finding the Third Proportional to 729,654,186 and 1,605,237,645

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Solution

The third proportional to 729,654,186 and 1,605,237,645 is: 3,531,519,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,654,186 : 1,605,237,645 = 1,605,237,645 : x
  2. Step 2: Convert to fraction form
    729,654,186/1,605,237,645 = 1,605,237,645/x
  3. Step 3: Cross multiply
    729,654,186x = 1,605,237,645 × 1,605,237,645
  4. Step 4: Simplify right side
    729,654,186x = 2,576,787,896,925,146,112
  5. Step 5: Solve for x
    x = 2,576,787,896,925,146,112/729,654,186
  6. Step 6: Final answer
    x = 3,531,519,377.76

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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.