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Finding the Third Proportional to 51,380,120 and 84,348,208

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Solution

The third proportional to 51,380,120 and 84,348,208 is: 138,470,291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,380,120 : 84,348,208 = 84,348,208 : x
  2. Step 2: Convert to fraction form
    51,380,120/84,348,208 = 84,348,208/x
  3. Step 3: Cross multiply
    51,380,120x = 84,348,208 × 84,348,208
  4. Step 4: Simplify right side
    51,380,120x = 7,114,620,192,811,264
  5. Step 5: Solve for x
    x = 7,114,620,192,811,264/51,380,120
  6. Step 6: Final answer
    x = 138,470,291.48

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.