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Finding the Third Proportional to 24,248,966 and 52,534,032

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Solution

The third proportional to 24,248,966 and 52,534,032 is: 113,812,049.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,248,966 : 52,534,032 = 52,534,032 : x
  2. Step 2: Convert to fraction form
    24,248,966/52,534,032 = 52,534,032/x
  3. Step 3: Cross multiply
    24,248,966x = 52,534,032 × 52,534,032
  4. Step 4: Simplify right side
    24,248,966x = 2,759,824,518,177,024
  5. Step 5: Solve for x
    x = 2,759,824,518,177,024/24,248,966
  6. Step 6: Final answer
    x = 113,812,049.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.