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Finding the Third Proportional to 912,410,248 and 1,318,275,532

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Solution

The third proportional to 912,410,248 and 1,318,275,532 is: 1,904,680,906.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,410,248 : 1,318,275,532 = 1,318,275,532 : x
  2. Step 2: Convert to fraction form
    912,410,248/1,318,275,532 = 1,318,275,532/x
  3. Step 3: Cross multiply
    912,410,248x = 1,318,275,532 × 1,318,275,532
  4. Step 4: Simplify right side
    912,410,248x = 1,737,850,378,269,883,136
  5. Step 5: Solve for x
    x = 1,737,850,378,269,883,136/912,410,248
  6. Step 6: Final answer
    x = 1,904,680,906.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.