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Finding the Third Proportional to 377,684,622 and 812,764,864

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Solution

The third proportional to 377,684,622 and 812,764,864 is: 1,749,043,211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,684,622 : 812,764,864 = 812,764,864 : x
  2. Step 2: Convert to fraction form
    377,684,622/812,764,864 = 812,764,864/x
  3. Step 3: Cross multiply
    377,684,622x = 812,764,864 × 812,764,864
  4. Step 4: Simplify right side
    377,684,622x = 660,586,724,152,938,496
  5. Step 5: Solve for x
    x = 660,586,724,152,938,496/377,684,622
  6. Step 6: Final answer
    x = 1,749,043,211.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.