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Finding the Third Proportional to 2,432,926,505 and 3,768,922,625

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Solution

The third proportional to 2,432,926,505 and 3,768,922,625 is: 5,838,556,045.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432,926,505 : 3,768,922,625 = 3,768,922,625 : x
  2. Step 2: Convert to fraction form
    2,432,926,505/3,768,922,625 = 3,768,922,625/x
  3. Step 3: Cross multiply
    2,432,926,505x = 3,768,922,625 × 3,768,922,625
  4. Step 4: Simplify right side
    2,432,926,505x = 14,204,777,753,236,891,648
  5. Step 5: Solve for x
    x = 14,204,777,753,236,891,648/2,432,926,505
  6. Step 6: Final answer
    x = 5,838,556,045.18

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Why These Related Problems?

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