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Finding the Third Proportional to 10,185,132.38 and 23,770,092.94

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Solution

The third proportional to 10,185,132.38 and 23,770,092.94 is: 55,474,715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185,132.38 : 23,770,092.94 = 23,770,092.94 : x
  2. Step 2: Convert to fraction form
    10,185,132.38/23,770,092.94 = 23,770,092.94/x
  3. Step 3: Cross multiply
    10,185,132.38x = 23,770,092.94 × 23,770,092.94
  4. Step 4: Simplify right side
    10,185,132.38x = 565,017,318,257,387.38
  5. Step 5: Solve for x
    x = 565,017,318,257,387.38/10,185,132.38
  6. Step 6: Final answer
    x = 55,474,715.25

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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.