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Finding the Third Proportional to 17,764,825 and 38,224,034

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Solution

The third proportional to 17,764,825 and 38,224,034 is: 82,245,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764,825 : 38,224,034 = 38,224,034 : x
  2. Step 2: Convert to fraction form
    17,764,825/38,224,034 = 38,224,034/x
  3. Step 3: Cross multiply
    17,764,825x = 38,224,034 × 38,224,034
  4. Step 4: Simplify right side
    17,764,825x = 1,461,076,775,233,156
  5. Step 5: Solve for x
    x = 1,461,076,775,233,156/17,764,825
  6. Step 6: Final answer
    x = 82,245,492.16

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.