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Finding the Third Proportional to 24,375,639,270 and 49,436,666,039.25

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Solution

The third proportional to 24,375,639,270 and 49,436,666,039.25 is: 100,263,378,613.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375,639,270 : 49,436,666,039.25 = 49,436,666,039.25 : x
  2. Step 2: Convert to fraction form
    24,375,639,270/49,436,666,039.25 = 49,436,666,039.25/x
  3. Step 3: Cross multiply
    24,375,639,270x = 49,436,666,039.25 × 49,436,666,039.25
  4. Step 4: Simplify right side
    24,375,639,270x = 2,443,983,949,076,334,379,008
  5. Step 5: Solve for x
    x = 2,443,983,949,076,334,379,008/24,375,639,270
  6. Step 6: Final answer
    x = 100,263,378,613.59

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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.