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Finding the Third Proportional to 7,161,709 and 13,957,945

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Solution

The third proportional to 7,161,709 and 13,957,945 is: 27,203,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161,709 : 13,957,945 = 13,957,945 : x
  2. Step 2: Convert to fraction form
    7,161,709/13,957,945 = 13,957,945/x
  3. Step 3: Cross multiply
    7,161,709x = 13,957,945 × 13,957,945
  4. Step 4: Simplify right side
    7,161,709x = 194,824,228,623,025
  5. Step 5: Solve for x
    x = 194,824,228,623,025/7,161,709
  6. Step 6: Final answer
    x = 27,203,594.65

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.