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Finding the Third Proportional to 2,432,926,496 and 3,768,922,611

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Solution

The third proportional to 2,432,926,496 and 3,768,922,611 is: 5,838,556,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432,926,496 : 3,768,922,611 = 3,768,922,611 : x
  2. Step 2: Convert to fraction form
    2,432,926,496/3,768,922,611 = 3,768,922,611/x
  3. Step 3: Cross multiply
    2,432,926,496x = 3,768,922,611 × 3,768,922,611
  4. Step 4: Simplify right side
    2,432,926,496x = 14,204,777,647,707,058,176
  5. Step 5: Solve for x
    x = 14,204,777,647,707,058,176/2,432,926,496
  6. Step 6: Final answer
    x = 5,838,556,023.40

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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.