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Finding the Third Proportional to 350,467,564 and 747,844,172

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Solution

The third proportional to 350,467,564 and 747,844,172 is: 1,595,785,068.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,467,564 : 747,844,172 = 747,844,172 : x
  2. Step 2: Convert to fraction form
    350,467,564/747,844,172 = 747,844,172/x
  3. Step 3: Cross multiply
    350,467,564x = 747,844,172 × 747,844,172
  4. Step 4: Simplify right side
    350,467,564x = 559,270,905,594,365,568
  5. Step 5: Solve for x
    x = 559,270,905,594,365,568/350,467,564
  6. Step 6: Final answer
    x = 1,595,785,068.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.