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Finding the Third Proportional to 17,616,009.50 and 38,696,226.50

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Solution

The third proportional to 17,616,009.50 and 38,696,226.50 is: 85,002,108.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,616,009.50 : 38,696,226.50 = 38,696,226.50 : x
  2. Step 2: Convert to fraction form
    17,616,009.50/38,696,226.50 = 38,696,226.50/x
  3. Step 3: Cross multiply
    17,616,009.50x = 38,696,226.50 × 38,696,226.50
  4. Step 4: Simplify right side
    17,616,009.50x = 1,497,397,945,339,302.25
  5. Step 5: Solve for x
    x = 1,497,397,945,339,302.25/17,616,009.50
  6. Step 6: Final answer
    x = 85,002,108.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.