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Finding the Third Proportional to 22,483,729 and 48,377,531

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Solution

The third proportional to 22,483,729 and 48,377,531 is: 104,092,408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,483,729 : 48,377,531 = 48,377,531 : x
  2. Step 2: Convert to fraction form
    22,483,729/48,377,531 = 48,377,531/x
  3. Step 3: Cross multiply
    22,483,729x = 48,377,531 × 48,377,531
  4. Step 4: Simplify right side
    22,483,729x = 2,340,385,505,655,961
  5. Step 5: Solve for x
    x = 2,340,385,505,655,961/22,483,729
  6. Step 6: Final answer
    x = 104,092,408.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.