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Finding the Third Proportional to 282,305,400 and 611,510,448

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Solution

The third proportional to 282,305,400 and 611,510,448 is: 1,324,611,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,305,400 : 611,510,448 = 611,510,448 : x
  2. Step 2: Convert to fraction form
    282,305,400/611,510,448 = 611,510,448/x
  3. Step 3: Cross multiply
    282,305,400x = 611,510,448 × 611,510,448
  4. Step 4: Simplify right side
    282,305,400x = 373,945,028,013,160,704
  5. Step 5: Solve for x
    x = 373,945,028,013,160,704/282,305,400
  6. Step 6: Final answer
    x = 1,324,611,672.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.