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Finding the Third Proportional to 496,608,543 and 1,170,644,575.50

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Solution

The third proportional to 496,608,543 and 1,170,644,575.50 is: 2,759,535,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,608,543 : 1,170,644,575.50 = 1,170,644,575.50 : x
  2. Step 2: Convert to fraction form
    496,608,543/1,170,644,575.50 = 1,170,644,575.50/x
  3. Step 3: Cross multiply
    496,608,543x = 1,170,644,575.50 × 1,170,644,575.50
  4. Step 4: Simplify right side
    496,608,543x = 1,370,408,722,147,575,296
  5. Step 5: Solve for x
    x = 1,370,408,722,147,575,296/496,608,543
  6. Step 6: Final answer
    x = 2,759,535,133.79

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.