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Finding the Third Proportional to 7,124,033 and 11,037,914

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Solution

The third proportional to 7,124,033 and 11,037,914 is: 17,102,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124,033 : 11,037,914 = 11,037,914 : x
  2. Step 2: Convert to fraction form
    7,124,033/11,037,914 = 11,037,914/x
  3. Step 3: Cross multiply
    7,124,033x = 11,037,914 × 11,037,914
  4. Step 4: Simplify right side
    7,124,033x = 121,835,545,471,396
  5. Step 5: Solve for x
    x = 121,835,545,471,396/7,124,033
  6. Step 6: Final answer
    x = 17,102,046.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.