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Finding the Third Proportional to 3,895,784 and 8,538,800

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Solution

The third proportional to 3,895,784 and 8,538,800 is: 18,715,387.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895,784 : 8,538,800 = 8,538,800 : x
  2. Step 2: Convert to fraction form
    3,895,784/8,538,800 = 8,538,800/x
  3. Step 3: Cross multiply
    3,895,784x = 8,538,800 × 8,538,800
  4. Step 4: Simplify right side
    3,895,784x = 72,911,105,440,000
  5. Step 5: Solve for x
    x = 72,911,105,440,000/3,895,784
  6. Step 6: Final answer
    x = 18,715,387.05

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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.