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Finding the Third Proportional to 378,027,132 and 583,169,100

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Solution

The third proportional to 378,027,132 and 583,169,100 is: 899,634,365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,027,132 : 583,169,100 = 583,169,100 : x
  2. Step 2: Convert to fraction form
    378,027,132/583,169,100 = 583,169,100/x
  3. Step 3: Cross multiply
    378,027,132x = 583,169,100 × 583,169,100
  4. Step 4: Simplify right side
    378,027,132x = 340,086,199,194,809,984
  5. Step 5: Solve for x
    x = 340,086,199,194,809,984/378,027,132
  6. Step 6: Final answer
    x = 899,634,365.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.