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Finding the Third Proportional to 6,862,680 and 9,149,164

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Solution

The third proportional to 6,862,680 and 9,149,164 is: 12,197,450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862,680 : 9,149,164 = 9,149,164 : x
  2. Step 2: Convert to fraction form
    6,862,680/9,149,164 = 9,149,164/x
  3. Step 3: Cross multiply
    6,862,680x = 9,149,164 × 9,149,164
  4. Step 4: Simplify right side
    6,862,680x = 83,707,201,898,896
  5. Step 5: Solve for x
    x = 83,707,201,898,896/6,862,680
  6. Step 6: Final answer
    x = 12,197,450.84

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.