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Finding the Third Proportional to 7,844,508 and 16,991,921.25

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Solution

The third proportional to 7,844,508 and 16,991,921.25 is: 36,806,054.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844,508 : 16,991,921.25 = 16,991,921.25 : x
  2. Step 2: Convert to fraction form
    7,844,508/16,991,921.25 = 16,991,921.25/x
  3. Step 3: Cross multiply
    7,844,508x = 16,991,921.25 × 16,991,921.25
  4. Step 4: Simplify right side
    7,844,508x = 288,725,387,766,201.56
  5. Step 5: Solve for x
    x = 288,725,387,766,201.56/7,844,508
  6. Step 6: Final answer
    x = 36,806,054.35

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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.