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Finding the Third Proportional to 24,079,184 and 51,424,000

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Solution

The third proportional to 24,079,184 and 51,424,000 is: 109,822,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,079,184 : 51,424,000 = 51,424,000 : x
  2. Step 2: Convert to fraction form
    24,079,184/51,424,000 = 51,424,000/x
  3. Step 3: Cross multiply
    24,079,184x = 51,424,000 × 51,424,000
  4. Step 4: Simplify right side
    24,079,184x = 2,644,427,776,000,000
  5. Step 5: Solve for x
    x = 2,644,427,776,000,000/24,079,184
  6. Step 6: Final answer
    x = 109,822,150.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.