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Finding the Third Proportional to 5,385,901.50 and 11,785,275

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Solution

The third proportional to 5,385,901.50 and 11,785,275 is: 25,788,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385,901.50 : 11,785,275 = 11,785,275 : x
  2. Step 2: Convert to fraction form
    5,385,901.50/11,785,275 = 11,785,275/x
  3. Step 3: Cross multiply
    5,385,901.50x = 11,785,275 × 11,785,275
  4. Step 4: Simplify right side
    5,385,901.50x = 138,892,706,825,625
  5. Step 5: Solve for x
    x = 138,892,706,825,625/5,385,901.50
  6. Step 6: Final answer
    x = 25,788,200.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.