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Finding the Third Proportional to 10,199,906 and 22,194,232

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Solution

The third proportional to 10,199,906 and 22,194,232 is: 48,292,987.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199,906 : 22,194,232 = 22,194,232 : x
  2. Step 2: Convert to fraction form
    10,199,906/22,194,232 = 22,194,232/x
  3. Step 3: Cross multiply
    10,199,906x = 22,194,232 × 22,194,232
  4. Step 4: Simplify right side
    10,199,906x = 492,583,934,069,824
  5. Step 5: Solve for x
    x = 492,583,934,069,824/10,199,906
  6. Step 6: Final answer
    x = 48,292,987.61

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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.