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Finding the Third Proportional to 11,786,800.50 and 17,724,069

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Solution

The third proportional to 11,786,800.50 and 17,724,069 is: 26,652,069.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786,800.50 : 17,724,069 = 17,724,069 : x
  2. Step 2: Convert to fraction form
    11,786,800.50/17,724,069 = 17,724,069/x
  3. Step 3: Cross multiply
    11,786,800.50x = 17,724,069 × 17,724,069
  4. Step 4: Simplify right side
    11,786,800.50x = 314,142,621,916,761
  5. Step 5: Solve for x
    x = 314,142,621,916,761/11,786,800.50
  6. Step 6: Final answer
    x = 26,652,069.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.