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Finding the Third Proportional to 32,078,118 and 74,851,535

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Solution

The third proportional to 32,078,118 and 74,851,535 is: 174,659,632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078,118 : 74,851,535 = 74,851,535 : x
  2. Step 2: Convert to fraction form
    32,078,118/74,851,535 = 74,851,535/x
  3. Step 3: Cross multiply
    32,078,118x = 74,851,535 × 74,851,535
  4. Step 4: Simplify right side
    32,078,118x = 5,602,752,291,856,225
  5. Step 5: Solve for x
    x = 5,602,752,291,856,225/32,078,118
  6. Step 6: Final answer
    x = 174,659,632.21

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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.