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Finding the Third Proportional to 10,219,616 and 22,253,632

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Solution

The third proportional to 10,219,616 and 22,253,632 is: 48,458,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219,616 : 22,253,632 = 22,253,632 : x
  2. Step 2: Convert to fraction form
    10,219,616/22,253,632 = 22,253,632/x
  3. Step 3: Cross multiply
    10,219,616x = 22,253,632 × 22,253,632
  4. Step 4: Simplify right side
    10,219,616x = 495,224,137,191,424
  5. Step 5: Solve for x
    x = 495,224,137,191,424/10,219,616
  6. Step 6: Final answer
    x = 48,458,194.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.