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Finding the Third Proportional to 8,378,397 and 12,811,284

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Solution

The third proportional to 8,378,397 and 12,811,284 is: 19,589,546.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378,397 : 12,811,284 = 12,811,284 : x
  2. Step 2: Convert to fraction form
    8,378,397/12,811,284 = 12,811,284/x
  3. Step 3: Cross multiply
    8,378,397x = 12,811,284 × 12,811,284
  4. Step 4: Simplify right side
    8,378,397x = 164,128,997,728,656
  5. Step 5: Solve for x
    x = 164,128,997,728,656/8,378,397
  6. Step 6: Final answer
    x = 19,589,546.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.