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Finding the Third Proportional to 388,419,129 and 832,240,902

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Solution

The third proportional to 388,419,129 and 832,240,902 is: 1,783,189,516.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,419,129 : 832,240,902 = 832,240,902 : x
  2. Step 2: Convert to fraction form
    388,419,129/832,240,902 = 832,240,902/x
  3. Step 3: Cross multiply
    388,419,129x = 832,240,902 × 832,240,902
  4. Step 4: Simplify right side
    388,419,129x = 692,624,918,961,773,568
  5. Step 5: Solve for x
    x = 692,624,918,961,773,568/388,419,129
  6. Step 6: Final answer
    x = 1,783,189,516.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.