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Finding the Third Proportional to 7,011,171 and 10,488,732.75

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Solution

The third proportional to 7,011,171 and 10,488,732.75 is: 15,691,175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011,171 : 10,488,732.75 = 10,488,732.75 : x
  2. Step 2: Convert to fraction form
    7,011,171/10,488,732.75 = 10,488,732.75/x
  3. Step 3: Cross multiply
    7,011,171x = 10,488,732.75 × 10,488,732.75
  4. Step 4: Simplify right side
    7,011,171x = 110,013,514,700,922.56
  5. Step 5: Solve for x
    x = 110,013,514,700,922.56/7,011,171
  6. Step 6: Final answer
    x = 15,691,175.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.