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Finding the Third Proportional to 265,380,078 and 415,395,927

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Solution

The third proportional to 265,380,078 and 415,395,927 is: 650,213,751.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,380,078 : 415,395,927 = 415,395,927 : x
  2. Step 2: Convert to fraction form
    265,380,078/415,395,927 = 415,395,927/x
  3. Step 3: Cross multiply
    265,380,078x = 415,395,927 × 415,395,927
  4. Step 4: Simplify right side
    265,380,078x = 172,553,776,168,189,344
  5. Step 5: Solve for x
    x = 172,553,776,168,189,344/265,380,078
  6. Step 6: Final answer
    x = 650,213,751.80

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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.