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Finding the Third Proportional to 32,078,032 and 74,851,328

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Solution

The third proportional to 32,078,032 and 74,851,328 is: 174,659,134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078,032 : 74,851,328 = 74,851,328 : x
  2. Step 2: Convert to fraction form
    32,078,032/74,851,328 = 74,851,328/x
  3. Step 3: Cross multiply
    32,078,032x = 74,851,328 × 74,851,328
  4. Step 4: Simplify right side
    32,078,032x = 5,602,721,303,363,584
  5. Step 5: Solve for x
    x = 5,602,721,303,363,584/32,078,032
  6. Step 6: Final answer
    x = 174,659,134.43

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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.