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Finding the Third Proportional to 24,715,500 and 53,824,848

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Solution

The third proportional to 24,715,500 and 53,824,848 is: 117,218,517.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,715,500 : 53,824,848 = 53,824,848 : x
  2. Step 2: Convert to fraction form
    24,715,500/53,824,848 = 53,824,848/x
  3. Step 3: Cross multiply
    24,715,500x = 53,824,848 × 53,824,848
  4. Step 4: Simplify right side
    24,715,500x = 2,897,114,262,223,104
  5. Step 5: Solve for x
    x = 2,897,114,262,223,104/24,715,500
  6. Step 6: Final answer
    x = 117,218,517.21

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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.