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Finding the Third Proportional to 10,903,294.50 and 23,787,051

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Solution

The third proportional to 10,903,294.50 and 23,787,051 is: 51,894,754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903,294.50 : 23,787,051 = 23,787,051 : x
  2. Step 2: Convert to fraction form
    10,903,294.50/23,787,051 = 23,787,051/x
  3. Step 3: Cross multiply
    10,903,294.50x = 23,787,051 × 23,787,051
  4. Step 4: Simplify right side
    10,903,294.50x = 565,823,795,276,601
  5. Step 5: Solve for x
    x = 565,823,795,276,601/10,903,294.50
  6. Step 6: Final answer
    x = 51,894,754.86

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Why These Related Problems?

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