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Finding the Third Proportional to 32,078,116 and 74,851,530

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Solution

The third proportional to 32,078,116 and 74,851,530 is: 174,659,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078,116 : 74,851,530 = 74,851,530 : x
  2. Step 2: Convert to fraction form
    32,078,116/74,851,530 = 74,851,530/x
  3. Step 3: Cross multiply
    32,078,116x = 74,851,530 × 74,851,530
  4. Step 4: Simplify right side
    32,078,116x = 5,602,751,543,340,900
  5. Step 5: Solve for x
    x = 5,602,751,543,340,900/32,078,116
  6. Step 6: Final answer
    x = 174,659,619.77

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.