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Finding the Third Proportional to 54,913,868 and 120,377,824

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Solution

The third proportional to 54,913,868 and 120,377,824 is: 263,882,713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,913,868 : 120,377,824 = 120,377,824 : x
  2. Step 2: Convert to fraction form
    54,913,868/120,377,824 = 120,377,824/x
  3. Step 3: Cross multiply
    54,913,868x = 120,377,824 × 120,377,824
  4. Step 4: Simplify right side
    54,913,868x = 14,490,820,510,974,976
  5. Step 5: Solve for x
    x = 14,490,820,510,974,976/54,913,868
  6. Step 6: Final answer
    x = 263,882,713.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.