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Finding the Third Proportional to 282,452,616 and 609,493,680

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Solution

The third proportional to 282,452,616 and 609,493,680 is: 1,315,203,063.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,452,616 : 609,493,680 = 609,493,680 : x
  2. Step 2: Convert to fraction form
    282,452,616/609,493,680 = 609,493,680/x
  3. Step 3: Cross multiply
    282,452,616x = 609,493,680 × 609,493,680
  4. Step 4: Simplify right side
    282,452,616x = 371,482,545,959,942,400
  5. Step 5: Solve for x
    x = 371,482,545,959,942,400/282,452,616
  6. Step 6: Final answer
    x = 1,315,203,063.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.