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Finding the Third Proportional to 5,070,694.50 and 11,957,901.75

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Solution

The third proportional to 5,070,694.50 and 11,957,901.75 is: 28,199,571.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070,694.50 : 11,957,901.75 = 11,957,901.75 : x
  2. Step 2: Convert to fraction form
    5,070,694.50/11,957,901.75 = 11,957,901.75/x
  3. Step 3: Cross multiply
    5,070,694.50x = 11,957,901.75 × 11,957,901.75
  4. Step 4: Simplify right side
    5,070,694.50x = 142,991,414,262,653.06
  5. Step 5: Solve for x
    x = 142,991,414,262,653.06/5,070,694.50
  6. Step 6: Final answer
    x = 28,199,571.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.