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Finding the Third Proportional to 24,024,240 and 51,827,598

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Solution

The third proportional to 24,024,240 and 51,827,598 is: 111,807,903.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,024,240 : 51,827,598 = 51,827,598 : x
  2. Step 2: Convert to fraction form
    24,024,240/51,827,598 = 51,827,598/x
  3. Step 3: Cross multiply
    24,024,240x = 51,827,598 × 51,827,598
  4. Step 4: Simplify right side
    24,024,240x = 2,686,099,914,449,604
  5. Step 5: Solve for x
    x = 2,686,099,914,449,604/24,024,240
  6. Step 6: Final answer
    x = 111,807,903.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.