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Finding the Third Proportional to 267,970,136.48 and 580,458,343.36

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Solution

The third proportional to 267,970,136.48 and 580,458,343.36 is: 1,257,348,646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,970,136.48 : 580,458,343.36 = 580,458,343.36 : x
  2. Step 2: Convert to fraction form
    267,970,136.48/580,458,343.36 = 580,458,343.36/x
  3. Step 3: Cross multiply
    267,970,136.48x = 580,458,343.36 × 580,458,343.36
  4. Step 4: Simplify right side
    267,970,136.48x = 336,931,888,375,539,136
  5. Step 5: Solve for x
    x = 336,931,888,375,539,136/267,970,136.48
  6. Step 6: Final answer
    x = 1,257,348,646.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.