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Finding the Third Proportional to 580,542,206 and 1,253,437,372

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Solution

The third proportional to 580,542,206 and 1,253,437,372 is: 2,706,272,221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,542,206 : 1,253,437,372 = 1,253,437,372 : x
  2. Step 2: Convert to fraction form
    580,542,206/1,253,437,372 = 1,253,437,372/x
  3. Step 3: Cross multiply
    580,542,206x = 1,253,437,372 × 1,253,437,372
  4. Step 4: Simplify right side
    580,542,206x = 1,571,105,245,526,266,368
  5. Step 5: Solve for x
    x = 1,571,105,245,526,266,368/580,542,206
  6. Step 6: Final answer
    x = 2,706,272,221.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.