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Finding the Third Proportional to 6,321,912.75 and 9,412,885.13

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Solution

The third proportional to 6,321,912.75 and 9,412,885.13 is: 14,015,126.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321,912.75 : 9,412,885.13 = 9,412,885.13 : x
  2. Step 2: Convert to fraction form
    6,321,912.75/9,412,885.13 = 9,412,885.13/x
  3. Step 3: Cross multiply
    6,321,912.75x = 9,412,885.13 × 9,412,885.13
  4. Step 4: Simplify right side
    6,321,912.75x = 88,602,406,376,446.27
  5. Step 5: Solve for x
    x = 88,602,406,376,446.27/6,321,912.75
  6. Step 6: Final answer
    x = 14,015,126.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.