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Finding the Third Proportional to 54,942,182,478 and 119,011,876,524

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Solution

The third proportional to 54,942,182,478 and 119,011,876,524 is: 257,795,124,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,942,182,478 : 119,011,876,524 = 119,011,876,524 : x
  2. Step 2: Convert to fraction form
    54,942,182,478/119,011,876,524 = 119,011,876,524/x
  3. Step 3: Cross multiply
    54,942,182,478x = 119,011,876,524 × 119,011,876,524
  4. Step 4: Simplify right side
    54,942,182,478x = 14,163,826,753,763,822,010,368
  5. Step 5: Solve for x
    x = 14,163,826,753,763,822,010,368/54,942,182,478
  6. Step 6: Final answer
    x = 257,795,124,164.12

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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.