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Finding the Third Proportional to 32,078,034 and 74,851,333

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Solution

The third proportional to 32,078,034 and 74,851,333 is: 174,659,146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078,034 : 74,851,333 = 74,851,333 : x
  2. Step 2: Convert to fraction form
    32,078,034/74,851,333 = 74,851,333/x
  3. Step 3: Cross multiply
    32,078,034x = 74,851,333 × 74,851,333
  4. Step 4: Simplify right side
    32,078,034x = 5,602,722,051,876,889
  5. Step 5: Solve for x
    x = 5,602,722,051,876,889/32,078,034
  6. Step 6: Final answer
    x = 174,659,146.88

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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.