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Finding the Third Proportional to 31,376,064 and 68,308,080

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Solution

The third proportional to 31,376,064 and 68,308,080 is: 148,711,890.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,376,064 : 68,308,080 = 68,308,080 : x
  2. Step 2: Convert to fraction form
    31,376,064/68,308,080 = 68,308,080/x
  3. Step 3: Cross multiply
    31,376,064x = 68,308,080 × 68,308,080
  4. Step 4: Simplify right side
    31,376,064x = 4,665,993,793,286,400
  5. Step 5: Solve for x
    x = 4,665,993,793,286,400/31,376,064
  6. Step 6: Final answer
    x = 148,711,890.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.