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Finding the Third Proportional to 30,751,206.50 and 43,255,445.25

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Solution

The third proportional to 30,751,206.50 and 43,255,445.25 is: 60,844,232.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751,206.50 : 43,255,445.25 = 43,255,445.25 : x
  2. Step 2: Convert to fraction form
    30,751,206.50/43,255,445.25 = 43,255,445.25/x
  3. Step 3: Cross multiply
    30,751,206.50x = 43,255,445.25 × 43,255,445.25
  4. Step 4: Simplify right side
    30,751,206.50x = 1,871,033,543,775,747.50
  5. Step 5: Solve for x
    x = 1,871,033,543,775,747.50/30,751,206.50
  6. Step 6: Final answer
    x = 60,844,232.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.