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Finding the Third Proportional to 13,532,946 and 31,577,962

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Solution

The third proportional to 13,532,946 and 31,577,962 is: 73,684,450.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532,946 : 31,577,962 = 31,577,962 : x
  2. Step 2: Convert to fraction form
    13,532,946/31,577,962 = 31,577,962/x
  3. Step 3: Cross multiply
    13,532,946x = 31,577,962 × 31,577,962
  4. Step 4: Simplify right side
    13,532,946x = 997,167,684,073,444
  5. Step 5: Solve for x
    x = 997,167,684,073,444/13,532,946
  6. Step 6: Final answer
    x = 73,684,450.09

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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.