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Finding the Third Proportional to 740,185,123 and 1,625,635,141

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Solution

The third proportional to 740,185,123 and 1,625,635,141 is: 3,570,309,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,185,123 : 1,625,635,141 = 1,625,635,141 : x
  2. Step 2: Convert to fraction form
    740,185,123/1,625,635,141 = 1,625,635,141/x
  3. Step 3: Cross multiply
    740,185,123x = 1,625,635,141 × 1,625,635,141
  4. Step 4: Simplify right side
    740,185,123x = 2,642,689,611,654,089,728
  5. Step 5: Solve for x
    x = 2,642,689,611,654,089,728/740,185,123
  6. Step 6: Final answer
    x = 3,570,309,007.22

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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.