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Finding the Third Proportional to 5,678,589 and 12,384,865.50

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Solution

The third proportional to 5,678,589 and 12,384,865.50 is: 27,011,092.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678,589 : 12,384,865.50 = 12,384,865.50 : x
  2. Step 2: Convert to fraction form
    5,678,589/12,384,865.50 = 12,384,865.50/x
  3. Step 3: Cross multiply
    5,678,589x = 12,384,865.50 × 12,384,865.50
  4. Step 4: Simplify right side
    5,678,589x = 153,384,893,453,090.25
  5. Step 5: Solve for x
    x = 153,384,893,453,090.25/5,678,589
  6. Step 6: Final answer
    x = 27,011,092.62

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