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Finding the Third Proportional to 3,780,534 and 8,295,900

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Solution

The third proportional to 3,780,534 and 8,295,900 is: 18,204,295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780,534 : 8,295,900 = 8,295,900 : x
  2. Step 2: Convert to fraction form
    3,780,534/8,295,900 = 8,295,900/x
  3. Step 3: Cross multiply
    3,780,534x = 8,295,900 × 8,295,900
  4. Step 4: Simplify right side
    3,780,534x = 68,821,956,810,000
  5. Step 5: Solve for x
    x = 68,821,956,810,000/3,780,534
  6. Step 6: Final answer
    x = 18,204,295.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.