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Finding the Third Proportional to 32,496,827 and 71,369,971

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Solution

The third proportional to 32,496,827 and 71,369,971 is: 156,743,695.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,496,827 : 71,369,971 = 71,369,971 : x
  2. Step 2: Convert to fraction form
    32,496,827/71,369,971 = 71,369,971/x
  3. Step 3: Cross multiply
    32,496,827x = 71,369,971 × 71,369,971
  4. Step 4: Simplify right side
    32,496,827x = 5,093,672,760,540,841
  5. Step 5: Solve for x
    x = 5,093,672,760,540,841/32,496,827
  6. Step 6: Final answer
    x = 156,743,695.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.