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Finding the Third Proportional to 1,548,522,631 and 2,367,220,627.50

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Solution

The third proportional to 1,548,522,631 and 2,367,220,627.50 is: 3,618,761,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548,522,631 : 2,367,220,627.50 = 2,367,220,627.50 : x
  2. Step 2: Convert to fraction form
    1,548,522,631/2,367,220,627.50 = 2,367,220,627.50/x
  3. Step 3: Cross multiply
    1,548,522,631x = 2,367,220,627.50 × 2,367,220,627.50
  4. Step 4: Simplify right side
    1,548,522,631x = 5,603,733,499,261,493,248
  5. Step 5: Solve for x
    x = 5,603,733,499,261,493,248/1,548,522,631
  6. Step 6: Final answer
    x = 3,618,761,125.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.