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Finding the Third Proportional to 12,782,936 and 17,276,196

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Solution

The third proportional to 12,782,936 and 17,276,196 is: 23,348,857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782,936 : 17,276,196 = 17,276,196 : x
  2. Step 2: Convert to fraction form
    12,782,936/17,276,196 = 17,276,196/x
  3. Step 3: Cross multiply
    12,782,936x = 17,276,196 × 17,276,196
  4. Step 4: Simplify right side
    12,782,936x = 298,466,948,230,416
  5. Step 5: Solve for x
    x = 298,466,948,230,416/12,782,936
  6. Step 6: Final answer
    x = 23,348,857.28

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.