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Finding the Third Proportional to 376,211,043 and 786,724,907

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Solution

The third proportional to 376,211,043 and 786,724,907 is: 1,645,183,177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,211,043 : 786,724,907 = 786,724,907 : x
  2. Step 2: Convert to fraction form
    376,211,043/786,724,907 = 786,724,907/x
  3. Step 3: Cross multiply
    376,211,043x = 786,724,907 × 786,724,907
  4. Step 4: Simplify right side
    376,211,043x = 618,936,079,294,158,592
  5. Step 5: Solve for x
    x = 618,936,079,294,158,592/376,211,043
  6. Step 6: Final answer
    x = 1,645,183,177.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.