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Finding the Third Proportional to 7,117,524 and 11,030,212

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Solution

The third proportional to 7,117,524 and 11,030,212 is: 17,093,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117,524 : 11,030,212 = 11,030,212 : x
  2. Step 2: Convert to fraction form
    7,117,524/11,030,212 = 11,030,212/x
  3. Step 3: Cross multiply
    7,117,524x = 11,030,212 × 11,030,212
  4. Step 4: Simplify right side
    7,117,524x = 121,665,576,764,944
  5. Step 5: Solve for x
    x = 121,665,576,764,944/7,117,524
  6. Step 6: Final answer
    x = 17,093,806.32

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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.