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Finding the Third Proportional to 10,853,113.50 and 23,595,795

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Solution

The third proportional to 10,853,113.50 and 23,595,795 is: 51,299,706.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853,113.50 : 23,595,795 = 23,595,795 : x
  2. Step 2: Convert to fraction form
    10,853,113.50/23,595,795 = 23,595,795/x
  3. Step 3: Cross multiply
    10,853,113.50x = 23,595,795 × 23,595,795
  4. Step 4: Simplify right side
    10,853,113.50x = 556,761,541,682,025
  5. Step 5: Solve for x
    x = 556,761,541,682,025/10,853,113.50
  6. Step 6: Final answer
    x = 51,299,706.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.