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Finding the Third Proportional to 11,786,792.50 and 17,724,057

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Solution

The third proportional to 11,786,792.50 and 17,724,057 is: 26,652,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786,792.50 : 17,724,057 = 17,724,057 : x
  2. Step 2: Convert to fraction form
    11,786,792.50/17,724,057 = 17,724,057/x
  3. Step 3: Cross multiply
    11,786,792.50x = 17,724,057 × 17,724,057
  4. Step 4: Simplify right side
    11,786,792.50x = 314,142,196,539,249
  5. Step 5: Solve for x
    x = 314,142,196,539,249/11,786,792.50
  6. Step 6: Final answer
    x = 26,652,051.14

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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.