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Finding the Third Proportional to 10,627,597.50 and 22,198,704

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Solution

The third proportional to 10,627,597.50 and 22,198,704 is: 46,368,189.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627,597.50 : 22,198,704 = 22,198,704 : x
  2. Step 2: Convert to fraction form
    10,627,597.50/22,198,704 = 22,198,704/x
  3. Step 3: Cross multiply
    10,627,597.50x = 22,198,704 × 22,198,704
  4. Step 4: Simplify right side
    10,627,597.50x = 492,782,459,279,616
  5. Step 5: Solve for x
    x = 492,782,459,279,616/10,627,597.50
  6. Step 6: Final answer
    x = 46,368,189.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.