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Finding the Third Proportional to 5,632,294,704 and 11,728,103,737

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Solution

The third proportional to 5,632,294,704 and 11,728,103,737 is: 24,421,381,425.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632,294,704 : 11,728,103,737 = 11,728,103,737 : x
  2. Step 2: Convert to fraction form
    5,632,294,704/11,728,103,737 = 11,728,103,737/x
  3. Step 3: Cross multiply
    5,632,294,704x = 11,728,103,737 × 11,728,103,737
  4. Step 4: Simplify right side
    5,632,294,704x = 137,548,417,265,833,361,408
  5. Step 5: Solve for x
    x = 137,548,417,265,833,361,408/5,632,294,704
  6. Step 6: Final answer
    x = 24,421,381,425.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.