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Finding the Third Proportional to 4,441,084 and 9,685,344

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Solution

The third proportional to 4,441,084 and 9,685,344 is: 21,122,295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,441,084 : 9,685,344 = 9,685,344 : x
  2. Step 2: Convert to fraction form
    4,441,084/9,685,344 = 9,685,344/x
  3. Step 3: Cross multiply
    4,441,084x = 9,685,344 × 9,685,344
  4. Step 4: Simplify right side
    4,441,084x = 93,805,888,398,336
  5. Step 5: Solve for x
    x = 93,805,888,398,336/4,441,084
  6. Step 6: Final answer
    x = 21,122,295.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.