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Finding the Third Proportional to 12,219,100 and 24,129,824

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Solution

The third proportional to 12,219,100 and 24,129,824 is: 47,650,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219,100 : 24,129,824 = 24,129,824 : x
  2. Step 2: Convert to fraction form
    12,219,100/24,129,824 = 24,129,824/x
  3. Step 3: Cross multiply
    12,219,100x = 24,129,824 × 24,129,824
  4. Step 4: Simplify right side
    12,219,100x = 582,248,406,270,976
  5. Step 5: Solve for x
    x = 582,248,406,270,976/12,219,100
  6. Step 6: Final answer
    x = 47,650,678.55

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.