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Finding the Third Proportional to 27,761,820 and 44,332,736

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Solution

The third proportional to 27,761,820 and 44,332,736 is: 70,794,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761,820 : 44,332,736 = 44,332,736 : x
  2. Step 2: Convert to fraction form
    27,761,820/44,332,736 = 44,332,736/x
  3. Step 3: Cross multiply
    27,761,820x = 44,332,736 × 44,332,736
  4. Step 4: Simplify right side
    27,761,820x = 1,965,391,481,245,696
  5. Step 5: Solve for x
    x = 1,965,391,481,245,696/27,761,820
  6. Step 6: Final answer
    x = 70,794,763.50

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.