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Finding the Third Proportional to 8,724,889.50 and 18,569,523

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Solution

The third proportional to 8,724,889.50 and 18,569,523 is: 39,522,240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724,889.50 : 18,569,523 = 18,569,523 : x
  2. Step 2: Convert to fraction form
    8,724,889.50/18,569,523 = 18,569,523/x
  3. Step 3: Cross multiply
    8,724,889.50x = 18,569,523 × 18,569,523
  4. Step 4: Simplify right side
    8,724,889.50x = 344,827,184,447,529
  5. Step 5: Solve for x
    x = 344,827,184,447,529/8,724,889.50
  6. Step 6: Final answer
    x = 39,522,240.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.