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Finding the Third Proportional to 6,320,648 and 13,650,196

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Solution

The third proportional to 6,320,648 and 13,650,196 is: 29,479,232.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320,648 : 13,650,196 = 13,650,196 : x
  2. Step 2: Convert to fraction form
    6,320,648/13,650,196 = 13,650,196/x
  3. Step 3: Cross multiply
    6,320,648x = 13,650,196 × 13,650,196
  4. Step 4: Simplify right side
    6,320,648x = 186,327,850,838,416
  5. Step 5: Solve for x
    x = 186,327,850,838,416/6,320,648
  6. Step 6: Final answer
    x = 29,479,232.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.