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Finding the Third Proportional to 5,196,642 and 8,163,351

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Solution

The third proportional to 5,196,642 and 8,163,351 is: 12,823,723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196,642 : 8,163,351 = 8,163,351 : x
  2. Step 2: Convert to fraction form
    5,196,642/8,163,351 = 8,163,351/x
  3. Step 3: Cross multiply
    5,196,642x = 8,163,351 × 8,163,351
  4. Step 4: Simplify right side
    5,196,642x = 66,640,299,549,201
  5. Step 5: Solve for x
    x = 66,640,299,549,201/5,196,642
  6. Step 6: Final answer
    x = 12,823,723.39

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.