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Finding the Third Proportional to 32,078,080 and 74,851,440

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Solution

The third proportional to 32,078,080 and 74,851,440 is: 174,659,395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078,080 : 74,851,440 = 74,851,440 : x
  2. Step 2: Convert to fraction form
    32,078,080/74,851,440 = 74,851,440/x
  3. Step 3: Cross multiply
    32,078,080x = 74,851,440 × 74,851,440
  4. Step 4: Simplify right side
    32,078,080x = 5,602,738,070,073,600
  5. Step 5: Solve for x
    x = 5,602,738,070,073,600/32,078,080
  6. Step 6: Final answer
    x = 174,659,395.76

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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.