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Finding the Third Proportional to 174,115,412 and 380,061,880

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Solution

The third proportional to 174,115,412 and 380,061,880 is: 829,605,093.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,115,412 : 380,061,880 = 380,061,880 : x
  2. Step 2: Convert to fraction form
    174,115,412/380,061,880 = 380,061,880/x
  3. Step 3: Cross multiply
    174,115,412x = 380,061,880 × 380,061,880
  4. Step 4: Simplify right side
    174,115,412x = 144,447,032,629,134,400
  5. Step 5: Solve for x
    x = 144,447,032,629,134,400/174,115,412
  6. Step 6: Final answer
    x = 829,605,093.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.