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Finding the Third Proportional to 11,830,944 and 24,222,336

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Solution

The third proportional to 11,830,944 and 24,222,336 is: 49,592,117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830,944 : 24,222,336 = 24,222,336 : x
  2. Step 2: Convert to fraction form
    11,830,944/24,222,336 = 24,222,336/x
  3. Step 3: Cross multiply
    11,830,944x = 24,222,336 × 24,222,336
  4. Step 4: Simplify right side
    11,830,944x = 586,721,561,296,896
  5. Step 5: Solve for x
    x = 586,721,561,296,896/11,830,944
  6. Step 6: Final answer
    x = 49,592,117.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.