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Finding the Third Proportional to 1,204,441,467.75 and 1,841,288,476.50

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Solution

The third proportional to 1,204,441,467.75 and 1,841,288,476.50 is: 2,814,867,591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,441,467.75 : 1,841,288,476.50 = 1,841,288,476.50 : x
  2. Step 2: Convert to fraction form
    1,204,441,467.75/1,841,288,476.50 = 1,841,288,476.50/x
  3. Step 3: Cross multiply
    1,204,441,467.75x = 1,841,288,476.50 × 1,841,288,476.50
  4. Step 4: Simplify right side
    1,204,441,467.75x = 3,390,343,253,691,691,008
  5. Step 5: Solve for x
    x = 3,390,343,253,691,691,008/1,204,441,467.75
  6. Step 6: Final answer
    x = 2,814,867,591.72

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