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Finding the Third Proportional to 7,668,172.50 and 16,532,086.50

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Solution

The third proportional to 7,668,172.50 and 16,532,086.50 is: 35,642,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668,172.50 : 16,532,086.50 = 16,532,086.50 : x
  2. Step 2: Convert to fraction form
    7,668,172.50/16,532,086.50 = 16,532,086.50/x
  3. Step 3: Cross multiply
    7,668,172.50x = 16,532,086.50 × 16,532,086.50
  4. Step 4: Simplify right side
    7,668,172.50x = 273,309,884,043,482.25
  5. Step 5: Solve for x
    x = 273,309,884,043,482.25/7,668,172.50
  6. Step 6: Final answer
    x = 35,642,114.73

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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.