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Finding the Third Proportional to 8,496,857 and 12,815,832

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Solution

The third proportional to 8,496,857 and 12,815,832 is: 19,330,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496,857 : 12,815,832 = 12,815,832 : x
  2. Step 2: Convert to fraction form
    8,496,857/12,815,832 = 12,815,832/x
  3. Step 3: Cross multiply
    8,496,857x = 12,815,832 × 12,815,832
  4. Step 4: Simplify right side
    8,496,857x = 164,245,549,852,224
  5. Step 5: Solve for x
    x = 164,245,549,852,224/8,496,857
  6. Step 6: Final answer
    x = 19,330,153.47

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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.