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Finding the Third Proportional to 7,442,886.75 and 16,026,234

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Solution

The third proportional to 7,442,886.75 and 16,026,234 is: 34,508,139.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442,886.75 : 16,026,234 = 16,026,234 : x
  2. Step 2: Convert to fraction form
    7,442,886.75/16,026,234 = 16,026,234/x
  3. Step 3: Cross multiply
    7,442,886.75x = 16,026,234 × 16,026,234
  4. Step 4: Simplify right side
    7,442,886.75x = 256,840,176,222,756
  5. Step 5: Solve for x
    x = 256,840,176,222,756/7,442,886.75
  6. Step 6: Final answer
    x = 34,508,139.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.