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Finding the Third Proportional to 4,639,840 and 9,836,736

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Solution

The third proportional to 4,639,840 and 9,836,736 is: 20,854,463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639,840 : 9,836,736 = 9,836,736 : x
  2. Step 2: Convert to fraction form
    4,639,840/9,836,736 = 9,836,736/x
  3. Step 3: Cross multiply
    4,639,840x = 9,836,736 × 9,836,736
  4. Step 4: Simplify right side
    4,639,840x = 96,761,375,133,696
  5. Step 5: Solve for x
    x = 96,761,375,133,696/4,639,840
  6. Step 6: Final answer
    x = 20,854,463.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.