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Finding the Third Proportional to 10,119,864 and 22,208,595

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Solution

The third proportional to 10,119,864 and 22,208,595 is: 48,737,976.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119,864 : 22,208,595 = 22,208,595 : x
  2. Step 2: Convert to fraction form
    10,119,864/22,208,595 = 22,208,595/x
  3. Step 3: Cross multiply
    10,119,864x = 22,208,595 × 22,208,595
  4. Step 4: Simplify right side
    10,119,864x = 493,221,691,874,025
  5. Step 5: Solve for x
    x = 493,221,691,874,025/10,119,864
  6. Step 6: Final answer
    x = 48,737,976.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.