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Finding the Third Proportional to 8,195,709 and 12,416,078

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Solution

The third proportional to 8,195,709 and 12,416,078 is: 18,809,720.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195,709 : 12,416,078 = 12,416,078 : x
  2. Step 2: Convert to fraction form
    8,195,709/12,416,078 = 12,416,078/x
  3. Step 3: Cross multiply
    8,195,709x = 12,416,078 × 12,416,078
  4. Step 4: Simplify right side
    8,195,709x = 154,158,992,902,084
  5. Step 5: Solve for x
    x = 154,158,992,902,084/8,195,709
  6. Step 6: Final answer
    x = 18,809,720.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.