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Finding the Third Proportional to 24,375,639,269.81 and 49,436,666,040.38

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Solution

The third proportional to 24,375,639,269.81 and 49,436,666,040.38 is: 100,263,378,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375,639,269.81 : 49,436,666,040.38 = 49,436,666,040.38 : x
  2. Step 2: Convert to fraction form
    24,375,639,269.81/49,436,666,040.38 = 49,436,666,040.38/x
  3. Step 3: Cross multiply
    24,375,639,269.81x = 49,436,666,040.38 × 49,436,666,040.38
  4. Step 4: Simplify right side
    24,375,639,269.81x = 2,443,983,949,187,566,796,800
  5. Step 5: Solve for x
    x = 2,443,983,949,187,566,796,800/24,375,639,269.81
  6. Step 6: Final answer
    x = 100,263,378,618.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.