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Finding the Third Proportional to 535,086,299 and 1,175,397,915.50

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Solution

The third proportional to 535,086,299 and 1,175,397,915.50 is: 2,581,939,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,086,299 : 1,175,397,915.50 = 1,175,397,915.50 : x
  2. Step 2: Convert to fraction form
    535,086,299/1,175,397,915.50 = 1,175,397,915.50/x
  3. Step 3: Cross multiply
    535,086,299x = 1,175,397,915.50 × 1,175,397,915.50
  4. Step 4: Simplify right side
    535,086,299x = 1,381,560,259,761,745,152
  5. Step 5: Solve for x
    x = 1,381,560,259,761,745,152/535,086,299
  6. Step 6: Final answer
    x = 2,581,939,142.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.