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Finding the Third Proportional to 10,709,515.50 and 23,544,795

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Solution

The third proportional to 10,709,515.50 and 23,544,795 is: 51,763,067.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709,515.50 : 23,544,795 = 23,544,795 : x
  2. Step 2: Convert to fraction form
    10,709,515.50/23,544,795 = 23,544,795/x
  3. Step 3: Cross multiply
    10,709,515.50x = 23,544,795 × 23,544,795
  4. Step 4: Simplify right side
    10,709,515.50x = 554,357,371,592,025
  5. Step 5: Solve for x
    x = 554,357,371,592,025/10,709,515.50
  6. Step 6: Final answer
    x = 51,763,067.30

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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.