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Finding the Third Proportional to 24,027,424 and 49,758,192

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Solution

The third proportional to 24,027,424 and 49,758,192 is: 103,043,824.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,027,424 : 49,758,192 = 49,758,192 : x
  2. Step 2: Convert to fraction form
    24,027,424/49,758,192 = 49,758,192/x
  3. Step 3: Cross multiply
    24,027,424x = 49,758,192 × 49,758,192
  4. Step 4: Simplify right side
    24,027,424x = 2,475,877,671,108,864
  5. Step 5: Solve for x
    x = 2,475,877,671,108,864/24,027,424
  6. Step 6: Final answer
    x = 103,043,824.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.