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Finding the Third Proportional to 31,449,962 and 67,272,014

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Solution

The third proportional to 31,449,962 and 67,272,014 is: 143,896,004.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,449,962 : 67,272,014 = 67,272,014 : x
  2. Step 2: Convert to fraction form
    31,449,962/67,272,014 = 67,272,014/x
  3. Step 3: Cross multiply
    31,449,962x = 67,272,014 × 67,272,014
  4. Step 4: Simplify right side
    31,449,962x = 4,525,523,867,616,196
  5. Step 5: Solve for x
    x = 4,525,523,867,616,196/31,449,962
  6. Step 6: Final answer
    x = 143,896,004.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.