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Finding the Third Proportional to 19,961,194.50 and 40,645,921.50

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Solution

The third proportional to 19,961,194.50 and 40,645,921.50 is: 82,765,133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,961,194.50 : 40,645,921.50 = 40,645,921.50 : x
  2. Step 2: Convert to fraction form
    19,961,194.50/40,645,921.50 = 40,645,921.50/x
  3. Step 3: Cross multiply
    19,961,194.50x = 40,645,921.50 × 40,645,921.50
  4. Step 4: Simplify right side
    19,961,194.50x = 1,652,090,934,584,162.25
  5. Step 5: Solve for x
    x = 1,652,090,934,584,162.25/19,961,194.50
  6. Step 6: Final answer
    x = 82,765,133.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.