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Finding the Third Proportional to 4,000,668 and 8,641,011

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Solution

The third proportional to 4,000,668 and 8,641,011 is: 18,663,650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000,668 : 8,641,011 = 8,641,011 : x
  2. Step 2: Convert to fraction form
    4,000,668/8,641,011 = 8,641,011/x
  3. Step 3: Cross multiply
    4,000,668x = 8,641,011 × 8,641,011
  4. Step 4: Simplify right side
    4,000,668x = 74,667,071,102,121
  5. Step 5: Solve for x
    x = 74,667,071,102,121/4,000,668
  6. Step 6: Final answer
    x = 18,663,650.95

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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.