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Finding the Third Proportional to 7,597,206 and 16,635,253.50

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Solution

The third proportional to 7,597,206 and 16,635,253.50 is: 36,425,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597,206 : 16,635,253.50 = 16,635,253.50 : x
  2. Step 2: Convert to fraction form
    7,597,206/16,635,253.50 = 16,635,253.50/x
  3. Step 3: Cross multiply
    7,597,206x = 16,635,253.50 × 16,635,253.50
  4. Step 4: Simplify right side
    7,597,206x = 276,731,659,009,262.25
  5. Step 5: Solve for x
    x = 276,731,659,009,262.25/7,597,206
  6. Step 6: Final answer
    x = 36,425,451.54

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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.