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Finding the Third Proportional to 22,483,745 and 48,377,563

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Solution

The third proportional to 22,483,745 and 48,377,563 is: 104,092,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,483,745 : 48,377,563 = 48,377,563 : x
  2. Step 2: Convert to fraction form
    22,483,745/48,377,563 = 48,377,563/x
  3. Step 3: Cross multiply
    22,483,745x = 48,377,563 × 48,377,563
  4. Step 4: Simplify right side
    22,483,745x = 2,340,388,601,818,969
  5. Step 5: Solve for x
    x = 2,340,388,601,818,969/22,483,745
  6. Step 6: Final answer
    x = 104,092,472.22

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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.