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Finding the Third Proportional to 11,401,798.50 and 24,597,202.50

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Solution

The third proportional to 11,401,798.50 and 24,597,202.50 is: 53,063,766.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,401,798.50 : 24,597,202.50 = 24,597,202.50 : x
  2. Step 2: Convert to fraction form
    11,401,798.50/24,597,202.50 = 24,597,202.50/x
  3. Step 3: Cross multiply
    11,401,798.50x = 24,597,202.50 × 24,597,202.50
  4. Step 4: Simplify right side
    11,401,798.50x = 605,022,370,826,006.25
  5. Step 5: Solve for x
    x = 605,022,370,826,006.25/11,401,798.50
  6. Step 6: Final answer
    x = 53,063,766.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.