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Finding the Third Proportional to 254,782,360,078 and 395,598,185,378

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Solution

The third proportional to 254,782,360,078 and 395,598,185,378 is: 614,241,599,090.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,782,360,078 : 395,598,185,378 = 395,598,185,378 : x
  2. Step 2: Convert to fraction form
    254,782,360,078/395,598,185,378 = 395,598,185,378/x
  3. Step 3: Cross multiply
    254,782,360,078x = 395,598,185,378 × 395,598,185,378
  4. Step 4: Simplify right side
    254,782,360,078x = 156,497,924,274,366,451,810,304
  5. Step 5: Solve for x
    x = 156,497,924,274,366,451,810,304/254,782,360,078
  6. Step 6: Final answer
    x = 614,241,599,090.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.