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Finding the Third Proportional to 24,477,732 and 53,279,406

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Solution

The third proportional to 24,477,732 and 53,279,406 is: 115,970,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,477,732 : 53,279,406 = 53,279,406 : x
  2. Step 2: Convert to fraction form
    24,477,732/53,279,406 = 53,279,406/x
  3. Step 3: Cross multiply
    24,477,732x = 53,279,406 × 53,279,406
  4. Step 4: Simplify right side
    24,477,732x = 2,838,695,103,712,836
  5. Step 5: Solve for x
    x = 2,838,695,103,712,836/24,477,732
  6. Step 6: Final answer
    x = 115,970,511.64

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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.