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Finding the Third Proportional to 49,407,852 and 108,867,480

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Solution

The third proportional to 49,407,852 and 108,867,480 is: 239,883,494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,407,852 : 108,867,480 = 108,867,480 : x
  2. Step 2: Convert to fraction form
    49,407,852/108,867,480 = 108,867,480/x
  3. Step 3: Cross multiply
    49,407,852x = 108,867,480 × 108,867,480
  4. Step 4: Simplify right side
    49,407,852x = 11,852,128,201,550,400
  5. Step 5: Solve for x
    x = 11,852,128,201,550,400/49,407,852
  6. Step 6: Final answer
    x = 239,883,494.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.