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Finding the Third Proportional to 265,566,741,408 and 407,942,998,182

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Solution

The third proportional to 265,566,741,408 and 407,942,998,182 is: 626,650,343,651.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,566,741,408 : 407,942,998,182 = 407,942,998,182 : x
  2. Step 2: Convert to fraction form
    265,566,741,408/407,942,998,182 = 407,942,998,182/x
  3. Step 3: Cross multiply
    265,566,741,408x = 407,942,998,182 × 407,942,998,182
  4. Step 4: Simplify right side
    265,566,741,408x = 166,417,489,765,719,271,800,832
  5. Step 5: Solve for x
    x = 166,417,489,765,719,271,800,832/265,566,741,408
  6. Step 6: Final answer
    x = 626,650,343,651.45

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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.