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Finding the Third Proportional to 27,761,819 and 44,332,734.50

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Solution

The third proportional to 27,761,819 and 44,332,734.50 is: 70,794,761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761,819 : 44,332,734.50 = 44,332,734.50 : x
  2. Step 2: Convert to fraction form
    27,761,819/44,332,734.50 = 44,332,734.50/x
  3. Step 3: Cross multiply
    27,761,819x = 44,332,734.50 × 44,332,734.50
  4. Step 4: Simplify right side
    27,761,819x = 1,965,391,348,247,490.25
  5. Step 5: Solve for x
    x = 1,965,391,348,247,490.25/27,761,819
  6. Step 6: Final answer
    x = 70,794,761.26

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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.