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Finding the Third Proportional to 20,121,359.50 and 43,645,414.50

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Solution

The third proportional to 20,121,359.50 and 43,645,414.50 is: 94,671,645.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,121,359.50 : 43,645,414.50 = 43,645,414.50 : x
  2. Step 2: Convert to fraction form
    20,121,359.50/43,645,414.50 = 43,645,414.50/x
  3. Step 3: Cross multiply
    20,121,359.50x = 43,645,414.50 × 43,645,414.50
  4. Step 4: Simplify right side
    20,121,359.50x = 1,904,922,206,876,810.25
  5. Step 5: Solve for x
    x = 1,904,922,206,876,810.25/20,121,359.50
  6. Step 6: Final answer
    x = 94,671,645.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.