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Finding the Third Proportional to 351,132,512 and 764,078,536

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Solution

The third proportional to 351,132,512 and 764,078,536 is: 1,662,665,772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,132,512 : 764,078,536 = 764,078,536 : x
  2. Step 2: Convert to fraction form
    351,132,512/764,078,536 = 764,078,536/x
  3. Step 3: Cross multiply
    351,132,512x = 764,078,536 × 764,078,536
  4. Step 4: Simplify right side
    351,132,512x = 583,816,009,175,903,232
  5. Step 5: Solve for x
    x = 583,816,009,175,903,232/351,132,512
  6. Step 6: Final answer
    x = 1,662,665,772.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.