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Finding the Third Proportional to 351,132,516 and 764,078,544

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Solution

The third proportional to 351,132,516 and 764,078,544 is: 1,662,665,787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,132,516 : 764,078,544 = 764,078,544 : x
  2. Step 2: Convert to fraction form
    351,132,516/764,078,544 = 764,078,544/x
  3. Step 3: Cross multiply
    351,132,516x = 764,078,544 × 764,078,544
  4. Step 4: Simplify right side
    351,132,516x = 583,816,021,401,159,936
  5. Step 5: Solve for x
    x = 583,816,021,401,159,936/351,132,516
  6. Step 6: Final answer
    x = 1,662,665,787.98

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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.