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Finding the Third Proportional to 7,665,367.50 and 11,782,219.50

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Solution

The third proportional to 7,665,367.50 and 11,782,219.50 is: 18,110,116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665,367.50 : 11,782,219.50 = 11,782,219.50 : x
  2. Step 2: Convert to fraction form
    7,665,367.50/11,782,219.50 = 11,782,219.50/x
  3. Step 3: Cross multiply
    7,665,367.50x = 11,782,219.50 × 11,782,219.50
  4. Step 4: Simplify right side
    7,665,367.50x = 138,820,696,346,180.25
  5. Step 5: Solve for x
    x = 138,820,696,346,180.25/7,665,367.50
  6. Step 6: Final answer
    x = 18,110,116.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.