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Finding the Third Proportional to 33,437,407.50 and 47,087,203.50

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Solution

The third proportional to 33,437,407.50 and 47,087,203.50 is: 66,309,110.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,437,407.50 : 47,087,203.50 = 47,087,203.50 : x
  2. Step 2: Convert to fraction form
    33,437,407.50/47,087,203.50 = 47,087,203.50/x
  3. Step 3: Cross multiply
    33,437,407.50x = 47,087,203.50 × 47,087,203.50
  4. Step 4: Simplify right side
    33,437,407.50x = 2,217,204,733,450,412.25
  5. Step 5: Solve for x
    x = 2,217,204,733,450,412.25/33,437,407.50
  6. Step 6: Final answer
    x = 66,309,110.04

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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.